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Finding the Fourth Proportional to 221,456.10, 332,023.22 and 88,296.42

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Solution

The fourth proportional to 221,456.10, 332,023.22 and 88,296.42 is: 132,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,456.10 : 332,023.22 = 88,296.42 : x
  2. Step 2: Convert to fraction form
    221,456.10/332,023.22 = 88,296.42/x
  3. Step 3: Cross multiply
    221,456.10x = 332,023.22 × 88,296.42
  4. Step 4: Simplify right side
    221,456.10x = 29,316,461,682.87
  5. Step 5: Solve for x
    x = 29,316,461,682.87/221,456.10
  6. Step 6: Final answer
    x = 132,380.47

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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.