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Finding the Fourth Proportional to 157,787.72, 217,738.16 and 89,821.24

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Solution

The fourth proportional to 157,787.72, 217,738.16 and 89,821.24 is: 123,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,787.72 : 217,738.16 = 89,821.24 : x
  2. Step 2: Convert to fraction form
    157,787.72/217,738.16 = 89,821.24/x
  3. Step 3: Cross multiply
    157,787.72x = 217,738.16 × 89,821.24
  4. Step 4: Simplify right side
    157,787.72x = 19,557,509,988.72
  5. Step 5: Solve for x
    x = 19,557,509,988.72/157,787.72
  6. Step 6: Final answer
    x = 123,948.24

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