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Finding the Fourth Proportional to 221,904.20, 332,856.30 and 81,644.60

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Solution

The fourth proportional to 221,904.20, 332,856.30 and 81,644.60 is: 122,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,904.20 : 332,856.30 = 81,644.60 : x
  2. Step 2: Convert to fraction form
    221,904.20/332,856.30 = 81,644.60/x
  3. Step 3: Cross multiply
    221,904.20x = 332,856.30 × 81,644.60
  4. Step 4: Simplify right side
    221,904.20x = 27,175,919,470.98
  5. Step 5: Solve for x
    x = 27,175,919,470.98/221,904.20
  6. Step 6: Final answer
    x = 122,466.90

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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.