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Finding the Fourth Proportional to 82,091.91, 123,137.88 and 63,399.22

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Solution

The fourth proportional to 82,091.91, 123,137.88 and 63,399.22 is: 95,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,091.91 : 123,137.88 = 63,399.22 : x
  2. Step 2: Convert to fraction form
    82,091.91/123,137.88 = 63,399.22/x
  3. Step 3: Cross multiply
    82,091.91x = 123,137.88 × 63,399.22
  4. Step 4: Simplify right side
    82,091.91x = 7,806,844,998.86
  5. Step 5: Solve for x
    x = 7,806,844,998.86/82,091.91
  6. Step 6: Final answer
    x = 95,098.83

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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.