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Finding the Fourth Proportional to 219,824.80, 329,737.20 and 197,663.20

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Solution

The fourth proportional to 219,824.80, 329,737.20 and 197,663.20 is: 296,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,824.80 : 329,737.20 = 197,663.20 : x
  2. Step 2: Convert to fraction form
    219,824.80/329,737.20 = 197,663.20/x
  3. Step 3: Cross multiply
    219,824.80x = 329,737.20 × 197,663.20
  4. Step 4: Simplify right side
    219,824.80x = 65,176,910,111.04
  5. Step 5: Solve for x
    x = 65,176,910,111.04/219,824.80
  6. Step 6: Final answer
    x = 296,494.80

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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.