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Finding the Fourth Proportional to 221,383.50, 332,074.08 and 86,461.26

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Solution

The fourth proportional to 221,383.50, 332,074.08 and 86,461.26 is: 129,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,383.50 : 332,074.08 = 86,461.26 : x
  2. Step 2: Convert to fraction form
    221,383.50/332,074.08 = 86,461.26/x
  3. Step 3: Cross multiply
    221,383.50x = 332,074.08 × 86,461.26
  4. Step 4: Simplify right side
    221,383.50x = 28,711,542,124.86
  5. Step 5: Solve for x
    x = 28,711,542,124.86/221,383.50
  6. Step 6: Final answer
    x = 129,691.43

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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.