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Finding the Fourth Proportional to 147,049.20, 202,964.92 and 83,425.20

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Solution

The fourth proportional to 147,049.20, 202,964.92 and 83,425.20 is: 115,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,049.20 : 202,964.92 = 83,425.20 : x
  2. Step 2: Convert to fraction form
    147,049.20/202,964.92 = 83,425.20/x
  3. Step 3: Cross multiply
    147,049.20x = 202,964.92 × 83,425.20
  4. Step 4: Simplify right side
    147,049.20x = 16,932,389,043.98
  5. Step 5: Solve for x
    x = 16,932,389,043.98/147,049.20
  6. Step 6: Final answer
    x = 115,147.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.