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Finding the Fourth Proportional to 278,044.72, 417,099.50 and 100,635.28

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Solution

The fourth proportional to 278,044.72, 417,099.50 and 100,635.28 is: 150,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,044.72 : 417,099.50 = 100,635.28 : x
  2. Step 2: Convert to fraction form
    278,044.72/417,099.50 = 100,635.28/x
  3. Step 3: Cross multiply
    278,044.72x = 417,099.50 × 100,635.28
  4. Step 4: Simplify right side
    278,044.72x = 41,974,924,970.36
  5. Step 5: Solve for x
    x = 41,974,924,970.36/278,044.72
  6. Step 6: Final answer
    x = 150,964.65

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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.