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Finding the Fourth Proportional to 221,540.56, 332,308.36 and 150,286.68

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Solution

The fourth proportional to 221,540.56, 332,308.36 and 150,286.68 is: 225,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,540.56 : 332,308.36 = 150,286.68 : x
  2. Step 2: Convert to fraction form
    221,540.56/332,308.36 = 150,286.68/x
  3. Step 3: Cross multiply
    221,540.56x = 332,308.36 × 150,286.68
  4. Step 4: Simplify right side
    221,540.56x = 49,941,520,160.64
  5. Step 5: Solve for x
    x = 49,941,520,160.64/221,540.56
  6. Step 6: Final answer
    x = 225,428.34

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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.