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Finding the Fourth Proportional to 82,727.26, 123,155.26 and 82,235.18

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Solution

The fourth proportional to 82,727.26, 123,155.26 and 82,235.18 is: 122,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,727.26 : 123,155.26 = 82,235.18 : x
  2. Step 2: Convert to fraction form
    82,727.26/123,155.26 = 82,235.18/x
  3. Step 3: Cross multiply
    82,727.26x = 123,155.26 × 82,235.18
  4. Step 4: Simplify right side
    82,727.26x = 10,127,694,974.05
  5. Step 5: Solve for x
    x = 10,127,694,974.05/82,727.26
  6. Step 6: Final answer
    x = 122,422.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.