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Finding the Fourth Proportional to 135,246.80, 202,870.20 and 132,942.80

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Solution

The fourth proportional to 135,246.80, 202,870.20 and 132,942.80 is: 199,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,246.80 : 202,870.20 = 132,942.80 : x
  2. Step 2: Convert to fraction form
    135,246.80/202,870.20 = 132,942.80/x
  3. Step 3: Cross multiply
    135,246.80x = 202,870.20 × 132,942.80
  4. Step 4: Simplify right side
    135,246.80x = 26,970,132,424.56
  5. Step 5: Solve for x
    x = 26,970,132,424.56/135,246.80
  6. Step 6: Final answer
    x = 199,414.20

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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.