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Finding the Fourth Proportional to 278,494.88, 417,750.42 and 68,132.76

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Solution

The fourth proportional to 278,494.88, 417,750.42 and 68,132.76 is: 102,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,494.88 : 417,750.42 = 68,132.76 : x
  2. Step 2: Convert to fraction form
    278,494.88/417,750.42 = 68,132.76/x
  3. Step 3: Cross multiply
    278,494.88x = 417,750.42 × 68,132.76
  4. Step 4: Simplify right side
    278,494.88x = 28,462,489,105.76
  5. Step 5: Solve for x
    x = 28,462,489,105.76/278,494.88
  6. Step 6: Final answer
    x = 102,201.12

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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.