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Finding the Fourth Proportional to 129,306.38, 178,442.80 and 72,717.75

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Solution

The fourth proportional to 129,306.38, 178,442.80 and 72,717.75 is: 100,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,306.38 : 178,442.80 = 72,717.75 : x
  2. Step 2: Convert to fraction form
    129,306.38/178,442.80 = 72,717.75/x
  3. Step 3: Cross multiply
    129,306.38x = 178,442.80 × 72,717.75
  4. Step 4: Simplify right side
    129,306.38x = 12,975,958,737.91
  5. Step 5: Solve for x
    x = 12,975,958,737.91/129,306.38
  6. Step 6: Final answer
    x = 100,350.50

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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.