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Finding the Fourth Proportional to 129,342, 178,502.22 and 72,757.56

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Solution

The fourth proportional to 129,342, 178,502.22 and 72,757.56 is: 100,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,342 : 178,502.22 = 72,757.56 : x
  2. Step 2: Convert to fraction form
    129,342/178,502.22 = 72,757.56/x
  3. Step 3: Cross multiply
    129,342x = 178,502.22 × 72,757.56
  4. Step 4: Simplify right side
    129,342x = 12,987,385,981.78
  5. Step 5: Solve for x
    x = 12,987,385,981.78/129,342
  6. Step 6: Final answer
    x = 100,411.20

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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.