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Finding the Fourth Proportional to 157,787.62, 217,755.08 and 96,514.60

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Solution

The fourth proportional to 157,787.62, 217,755.08 and 96,514.60 is: 133,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,787.62 : 217,755.08 = 96,514.60 : x
  2. Step 2: Convert to fraction form
    157,787.62/217,755.08 = 96,514.60/x
  3. Step 3: Cross multiply
    157,787.62x = 217,755.08 × 96,514.60
  4. Step 4: Simplify right side
    157,787.62x = 21,016,544,444.17
  5. Step 5: Solve for x
    x = 21,016,544,444.17/157,787.62
  6. Step 6: Final answer
    x = 133,195.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.