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Finding the Fourth Proportional to 278,380.26, 417,631.68 and 118,447.65

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Solution

The fourth proportional to 278,380.26, 417,631.68 and 118,447.65 is: 177,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,380.26 : 417,631.68 = 118,447.65 : x
  2. Step 2: Convert to fraction form
    278,380.26/417,631.68 = 118,447.65/x
  3. Step 3: Cross multiply
    278,380.26x = 417,631.68 × 118,447.65
  4. Step 4: Simplify right side
    278,380.26x = 49,467,491,061.55
  5. Step 5: Solve for x
    x = 49,467,491,061.55/278,380.26
  6. Step 6: Final answer
    x = 177,697.55

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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.