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Finding the Fourth Proportional to 137,882.76, 206,773.08 and 49,112.68

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Solution

The fourth proportional to 137,882.76, 206,773.08 and 49,112.68 is: 73,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,882.76 : 206,773.08 = 49,112.68 : x
  2. Step 2: Convert to fraction form
    137,882.76/206,773.08 = 49,112.68/x
  3. Step 3: Cross multiply
    137,882.76x = 206,773.08 × 49,112.68
  4. Step 4: Simplify right side
    137,882.76x = 10,155,180,110.65
  5. Step 5: Solve for x
    x = 10,155,180,110.65/137,882.76
  6. Step 6: Final answer
    x = 73,650.83

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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.