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Finding the Fourth Proportional to 132,004.80, 198,007.20 and 109,843.20

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Solution

The fourth proportional to 132,004.80, 198,007.20 and 109,843.20 is: 164,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,004.80 : 198,007.20 = 109,843.20 : x
  2. Step 2: Convert to fraction form
    132,004.80/198,007.20 = 109,843.20/x
  3. Step 3: Cross multiply
    132,004.80x = 198,007.20 × 109,843.20
  4. Step 4: Simplify right side
    132,004.80x = 21,749,744,471.04
  5. Step 5: Solve for x
    x = 21,749,744,471.04/132,004.80
  6. Step 6: Final answer
    x = 164,764.80

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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.