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Finding the Fourth Proportional to 87,584.80, 131,182.80 and 75,920.80

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Solution

The fourth proportional to 87,584.80, 131,182.80 and 75,920.80 is: 113,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,584.80 : 131,182.80 = 75,920.80 : x
  2. Step 2: Convert to fraction form
    87,584.80/131,182.80 = 75,920.80/x
  3. Step 3: Cross multiply
    87,584.80x = 131,182.80 × 75,920.80
  4. Step 4: Simplify right side
    87,584.80x = 9,959,503,122.24
  5. Step 5: Solve for x
    x = 9,959,503,122.24/87,584.80
  6. Step 6: Final answer
    x = 113,712.69

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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.