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Finding the Fourth Proportional to 147,947.20, 221,920.80 and 132,200.80

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Solution

The fourth proportional to 147,947.20, 221,920.80 and 132,200.80 is: 198,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,947.20 : 221,920.80 = 132,200.80 : x
  2. Step 2: Convert to fraction form
    147,947.20/221,920.80 = 132,200.80/x
  3. Step 3: Cross multiply
    147,947.20x = 221,920.80 × 132,200.80
  4. Step 4: Simplify right side
    147,947.20x = 29,338,107,296.64
  5. Step 5: Solve for x
    x = 29,338,107,296.64/147,947.20
  6. Step 6: Final answer
    x = 198,301.20

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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.