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Finding the Fourth Proportional to 83,210.92, 124,815.22 and 77,891.90

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Solution

The fourth proportional to 83,210.92, 124,815.22 and 77,891.90 is: 116,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,210.92 : 124,815.22 = 77,891.90 : x
  2. Step 2: Convert to fraction form
    83,210.92/124,815.22 = 77,891.90/x
  3. Step 3: Cross multiply
    83,210.92x = 124,815.22 × 77,891.90
  4. Step 4: Simplify right side
    83,210.92x = 9,722,094,634.72
  5. Step 5: Solve for x
    x = 9,722,094,634.72/83,210.92
  6. Step 6: Final answer
    x = 116,836.76

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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.