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Finding the Fourth Proportional to 157,407.96, 217,223.18 and 85,787.98

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Solution

The fourth proportional to 157,407.96, 217,223.18 and 85,787.98 is: 118,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,407.96 : 217,223.18 = 85,787.98 : x
  2. Step 2: Convert to fraction form
    157,407.96/217,223.18 = 85,787.98/x
  3. Step 3: Cross multiply
    157,407.96x = 217,223.18 × 85,787.98
  4. Step 4: Simplify right side
    157,407.96x = 18,635,137,821.38
  5. Step 5: Solve for x
    x = 18,635,137,821.38/157,407.96
  6. Step 6: Final answer
    x = 118,387.52

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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.