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Finding the Fourth Proportional to 139,207.87, 208,834.89 and 45,691.75

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Solution

The fourth proportional to 139,207.87, 208,834.89 and 45,691.75 is: 68,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,207.87 : 208,834.89 = 45,691.75 : x
  2. Step 2: Convert to fraction form
    139,207.87/208,834.89 = 45,691.75/x
  3. Step 3: Cross multiply
    139,207.87x = 208,834.89 × 45,691.75
  4. Step 4: Simplify right side
    139,207.87x = 9,542,031,585.16
  5. Step 5: Solve for x
    x = 9,542,031,585.16/139,207.87
  6. Step 6: Final answer
    x = 68,545.20

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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.