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Finding the Fourth Proportional to 278,253.20, 417,395.96 and 78,556.87

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Solution

The fourth proportional to 278,253.20, 417,395.96 and 78,556.87 is: 117,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,253.20 : 417,395.96 = 78,556.87 : x
  2. Step 2: Convert to fraction form
    278,253.20/417,395.96 = 78,556.87/x
  3. Step 3: Cross multiply
    278,253.20x = 417,395.96 × 78,556.87
  4. Step 4: Simplify right side
    278,253.20x = 32,789,320,168.25
  5. Step 5: Solve for x
    x = 32,789,320,168.25/278,253.20
  6. Step 6: Final answer
    x = 117,839.87

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