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Finding the Fourth Proportional to 278,493.88, 417,748.92 and 68,131.76

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Solution

The fourth proportional to 278,493.88, 417,748.92 and 68,131.76 is: 102,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,493.88 : 417,748.92 = 68,131.76 : x
  2. Step 2: Convert to fraction form
    278,493.88/417,748.92 = 68,131.76/x
  3. Step 3: Cross multiply
    278,493.88x = 417,748.92 × 68,131.76
  4. Step 4: Simplify right side
    278,493.88x = 28,461,969,157.70
  5. Step 5: Solve for x
    x = 28,461,969,157.70/278,493.88
  6. Step 6: Final answer
    x = 102,199.62

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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.