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Finding the Fourth Proportional to 135,049.80, 202,574.70 and 132,976.20

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Solution

The fourth proportional to 135,049.80, 202,574.70 and 132,976.20 is: 199,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,049.80 : 202,574.70 = 132,976.20 : x
  2. Step 2: Convert to fraction form
    135,049.80/202,574.70 = 132,976.20/x
  3. Step 3: Cross multiply
    135,049.80x = 202,574.70 × 132,976.20
  4. Step 4: Simplify right side
    135,049.80x = 26,937,613,822.14
  5. Step 5: Solve for x
    x = 26,937,613,822.14/135,049.80
  6. Step 6: Final answer
    x = 199,464.30

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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.