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Finding the Fourth Proportional to 111,842.88, 167,772.96 and 45,251.52

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Solution

The fourth proportional to 111,842.88, 167,772.96 and 45,251.52 is: 67,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,842.88 : 167,772.96 = 45,251.52 : x
  2. Step 2: Convert to fraction form
    111,842.88/167,772.96 = 45,251.52/x
  3. Step 3: Cross multiply
    111,842.88x = 167,772.96 × 45,251.52
  4. Step 4: Simplify right side
    111,842.88x = 7,591,981,454.90
  5. Step 5: Solve for x
    x = 7,591,981,454.90/111,842.88
  6. Step 6: Final answer
    x = 67,880.78

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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.