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Finding the Fourth Proportional to 278,269.20, 417,403.80 and 138,301.20

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Solution

The fourth proportional to 278,269.20, 417,403.80 and 138,301.20 is: 207,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,269.20 : 417,403.80 = 138,301.20 : x
  2. Step 2: Convert to fraction form
    278,269.20/417,403.80 = 138,301.20/x
  3. Step 3: Cross multiply
    278,269.20x = 417,403.80 × 138,301.20
  4. Step 4: Simplify right side
    278,269.20x = 57,727,446,424.56
  5. Step 5: Solve for x
    x = 57,727,446,424.56/278,269.20
  6. Step 6: Final answer
    x = 207,451.80

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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.