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Finding the Fourth Proportional to 221,414.40, 332,136.96 and 63,644.16

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Solution

The fourth proportional to 221,414.40, 332,136.96 and 63,644.16 is: 95,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,414.40 : 332,136.96 = 63,644.16 : x
  2. Step 2: Convert to fraction form
    221,414.40/332,136.96 = 63,644.16/x
  3. Step 3: Cross multiply
    221,414.40x = 332,136.96 × 63,644.16
  4. Step 4: Simplify right side
    221,414.40x = 21,138,577,824.15
  5. Step 5: Solve for x
    x = 21,138,577,824.15/221,414.40
  6. Step 6: Final answer
    x = 95,470.66

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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.