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Finding the Fourth Proportional to 129,003.42, 178,024.59 and 72,414.90

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Solution

The fourth proportional to 129,003.42, 178,024.59 and 72,414.90 is: 99,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,003.42 : 178,024.59 = 72,414.90 : x
  2. Step 2: Convert to fraction form
    129,003.42/178,024.59 = 72,414.90/x
  3. Step 3: Cross multiply
    129,003.42x = 178,024.59 × 72,414.90
  4. Step 4: Simplify right side
    129,003.42x = 12,891,632,882.39
  5. Step 5: Solve for x
    x = 12,891,632,882.39/129,003.42
  6. Step 6: Final answer
    x = 99,932.49

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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.