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Finding the Fourth Proportional to 274,194.26, 411,138.56 and 84,600.80

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Solution

The fourth proportional to 274,194.26, 411,138.56 and 84,600.80 is: 126,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,194.26 : 411,138.56 = 84,600.80 : x
  2. Step 2: Convert to fraction form
    274,194.26/411,138.56 = 84,600.80/x
  3. Step 3: Cross multiply
    274,194.26x = 411,138.56 × 84,600.80
  4. Step 4: Simplify right side
    274,194.26x = 34,782,651,086.85
  5. Step 5: Solve for x
    x = 34,782,651,086.85/274,194.26
  6. Step 6: Final answer
    x = 126,854.05

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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.