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Finding the Fourth Proportional to 140,614.92, 210,938.77 and 49,402.29

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Solution

The fourth proportional to 140,614.92, 210,938.77 and 49,402.29 is: 74,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,614.92 : 210,938.77 = 49,402.29 : x
  2. Step 2: Convert to fraction form
    140,614.92/210,938.77 = 49,402.29/x
  3. Step 3: Cross multiply
    140,614.92x = 210,938.77 × 49,402.29
  4. Step 4: Simplify right side
    140,614.92x = 10,420,858,691.62
  5. Step 5: Solve for x
    x = 10,420,858,691.62/140,614.92
  6. Step 6: Final answer
    x = 74,109.19

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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.