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Finding the Fourth Proportional to 219,882.80, 329,824.20 and 197,721.20

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Solution

The fourth proportional to 219,882.80, 329,824.20 and 197,721.20 is: 296,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,882.80 : 329,824.20 = 197,721.20 : x
  2. Step 2: Convert to fraction form
    219,882.80/329,824.20 = 197,721.20/x
  3. Step 3: Cross multiply
    219,882.80x = 329,824.20 × 197,721.20
  4. Step 4: Simplify right side
    219,882.80x = 65,213,236,613.04
  5. Step 5: Solve for x
    x = 65,213,236,613.04/219,882.80
  6. Step 6: Final answer
    x = 296,581.80

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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.