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Finding the Fourth Proportional to 82,170.59, 123,255.86 and 26,766.59

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Solution

The fourth proportional to 82,170.59, 123,255.86 and 26,766.59 is: 40,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,170.59 : 123,255.86 = 26,766.59 : x
  2. Step 2: Convert to fraction form
    82,170.59/123,255.86 = 26,766.59/x
  3. Step 3: Cross multiply
    82,170.59x = 123,255.86 × 26,766.59
  4. Step 4: Simplify right side
    82,170.59x = 3,299,138,319.61
  5. Step 5: Solve for x
    x = 3,299,138,319.61/82,170.59
  6. Step 6: Final answer
    x = 40,149.87

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1.5x scale

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.