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Finding the Fourth Proportional to 274,932.80, 412,399.20 and 134,964.80

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Solution

The fourth proportional to 274,932.80, 412,399.20 and 134,964.80 is: 202,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,932.80 : 412,399.20 = 134,964.80 : x
  2. Step 2: Convert to fraction form
    274,932.80/412,399.20 = 134,964.80/x
  3. Step 3: Cross multiply
    274,932.80x = 412,399.20 × 134,964.80
  4. Step 4: Simplify right side
    274,932.80x = 55,659,375,548.16
  5. Step 5: Solve for x
    x = 55,659,375,548.16/274,932.80
  6. Step 6: Final answer
    x = 202,447.20

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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.