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Finding the Fourth Proportional to 123,091.14, 185,022.15 and 81,240.21

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Solution

The fourth proportional to 123,091.14, 185,022.15 and 81,240.21 is: 122,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,091.14 : 185,022.15 = 81,240.21 : x
  2. Step 2: Convert to fraction form
    123,091.14/185,022.15 = 81,240.21/x
  3. Step 3: Cross multiply
    123,091.14x = 185,022.15 × 81,240.21
  4. Step 4: Simplify right side
    123,091.14x = 15,031,238,320.65
  5. Step 5: Solve for x
    x = 15,031,238,320.65/123,091.14
  6. Step 6: Final answer
    x = 122,114.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.