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Finding the Fourth Proportional to 264,092.70, 396,194.22 and 86,585.70

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Solution

The fourth proportional to 264,092.70, 396,194.22 and 86,585.70 is: 129,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,092.70 : 396,194.22 = 86,585.70 : x
  2. Step 2: Convert to fraction form
    264,092.70/396,194.22 = 86,585.70/x
  3. Step 3: Cross multiply
    264,092.70x = 396,194.22 × 86,585.70
  4. Step 4: Simplify right side
    264,092.70x = 34,304,753,874.65
  5. Step 5: Solve for x
    x = 34,304,753,874.65/264,092.70
  6. Step 6: Final answer
    x = 129,896.64

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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.