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Finding the Fourth Proportional to 148,980.80, 223,471.20 and 132,651.20

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Solution

The fourth proportional to 148,980.80, 223,471.20 and 132,651.20 is: 198,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980.80 : 223,471.20 = 132,651.20 : x
  2. Step 2: Convert to fraction form
    148,980.80/223,471.20 = 132,651.20/x
  3. Step 3: Cross multiply
    148,980.80x = 223,471.20 × 132,651.20
  4. Step 4: Simplify right side
    148,980.80x = 29,643,722,845.44
  5. Step 5: Solve for x
    x = 29,643,722,845.44/148,980.80
  6. Step 6: Final answer
    x = 198,976.80

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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.