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Finding the Fourth Proportional to 85,891.80, 129,183.30 and 76,906.20

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Solution

The fourth proportional to 85,891.80, 129,183.30 and 76,906.20 is: 115,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,891.80 : 129,183.30 = 76,906.20 : x
  2. Step 2: Convert to fraction form
    85,891.80/129,183.30 = 76,906.20/x
  3. Step 3: Cross multiply
    85,891.80x = 129,183.30 × 76,906.20
  4. Step 4: Simplify right side
    85,891.80x = 9,934,996,706.46
  5. Step 5: Solve for x
    x = 9,934,996,706.46/85,891.80
  6. Step 6: Final answer
    x = 115,668.74

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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.