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Finding the Fourth Proportional to 135,286.88, 202,939.24 and 35,449.52

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Solution

The fourth proportional to 135,286.88, 202,939.24 and 35,449.52 is: 53,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,286.88 : 202,939.24 = 35,449.52 : x
  2. Step 2: Convert to fraction form
    135,286.88/202,939.24 = 35,449.52/x
  3. Step 3: Cross multiply
    135,286.88x = 202,939.24 × 35,449.52
  4. Step 4: Simplify right side
    135,286.88x = 7,194,098,647.16
  5. Step 5: Solve for x
    x = 7,194,098,647.16/135,286.88
  6. Step 6: Final answer
    x = 53,176.62

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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.