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Finding the Fourth Proportional to 221,881.50, 332,384.13 and 146,774.43

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Solution

The fourth proportional to 221,881.50, 332,384.13 and 146,774.43 is: 219,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,881.50 : 332,384.13 = 146,774.43 : x
  2. Step 2: Convert to fraction form
    221,881.50/332,384.13 = 146,774.43/x
  3. Step 3: Cross multiply
    221,881.50x = 332,384.13 × 146,774.43
  4. Step 4: Simplify right side
    221,881.50x = 48,785,491,221.80
  5. Step 5: Solve for x
    x = 48,785,491,221.80/221,881.50
  6. Step 6: Final answer
    x = 219,871.83

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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.