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Finding the Fourth Proportional to 381,626.14, 572,701.65 and 132,308.14

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Solution

The fourth proportional to 381,626.14, 572,701.65 and 132,308.14 is: 198,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,626.14 : 572,701.65 = 132,308.14 : x
  2. Step 2: Convert to fraction form
    381,626.14/572,701.65 = 132,308.14/x
  3. Step 3: Cross multiply
    381,626.14x = 572,701.65 × 132,308.14
  4. Step 4: Simplify right side
    381,626.14x = 75,773,090,086.43
  5. Step 5: Solve for x
    x = 75,773,090,086.43/381,626.14
  6. Step 6: Final answer
    x = 198,553.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.