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Finding the Fourth Proportional to 219,881.20, 329,821.80 and 206,759.20

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Solution

The fourth proportional to 219,881.20, 329,821.80 and 206,759.20 is: 310,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,881.20 : 329,821.80 = 206,759.20 : x
  2. Step 2: Convert to fraction form
    219,881.20/329,821.80 = 206,759.20/x
  3. Step 3: Cross multiply
    219,881.20x = 329,821.80 × 206,759.20
  4. Step 4: Simplify right side
    219,881.20x = 68,193,691,510.56
  5. Step 5: Solve for x
    x = 68,193,691,510.56/219,881.20
  6. Step 6: Final answer
    x = 310,138.80

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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.