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Finding the Fourth Proportional to 127,687.79, 191,432.36 and 82,613.91

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Solution

The fourth proportional to 127,687.79, 191,432.36 and 82,613.91 is: 123,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,687.79 : 191,432.36 = 82,613.91 : x
  2. Step 2: Convert to fraction form
    127,687.79/191,432.36 = 82,613.91/x
  3. Step 3: Cross multiply
    127,687.79x = 191,432.36 × 82,613.91
  4. Step 4: Simplify right side
    127,687.79x = 15,814,976,597.85
  5. Step 5: Solve for x
    x = 15,814,976,597.85/127,687.79
  6. Step 6: Final answer
    x = 123,856.61

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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.