fall through

• Without your solid support, the deal would have fallen through. I’m grateful to you.
  あなたの強固な支援がなかったら、その取引は成立しなかったでしょう。感謝しています。

fall through
〔計画などが〕失敗［不成立］に終わる、実現されない、頓挫する、中止［駄目・おじゃん・ご破算・実現不可能］になる
・A plan fell through to sell it to Company A for $__. ＿ドルでそれを会社Aに売却する計画は不成立に終わった。

チャット爺に訊いてみました。

Certainly! Here are five sentences using the phrase “fall through”:

• Their plans to travel together fell through when one of them got an unexpected work assignment.
• The deal was almost finalized, but it fell through at the last minute due to a disagreement on the terms.
• They were supposed to meet for lunch, but it fell through because of a sudden family emergency.
• The project was promising, but it fell through due to a lack of funding and support.
• She had high hopes for the collaboration, but it fell through when the other party backed out unexpectedly.