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Finding the Fourth Proportional to 208,928.50, 313,517.28 and 75,819.15

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Solution

The fourth proportional to 208,928.50, 313,517.28 and 75,819.15 is: 113,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,928.50 : 313,517.28 = 75,819.15 : x
  2. Step 2: Convert to fraction form
    208,928.50/313,517.28 = 75,819.15/x
  3. Step 3: Cross multiply
    208,928.50x = 313,517.28 × 75,819.15
  4. Step 4: Simplify right side
    208,928.50x = 23,770,613,679.91
  5. Step 5: Solve for x
    x = 23,770,613,679.91/208,928.50
  6. Step 6: Final answer
    x = 113,773.92

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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.