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Finding the Fourth Proportional to 242,143.73, 363,034.76 and 167,049.64

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Solution

The fourth proportional to 242,143.73, 363,034.76 and 167,049.64 is: 250,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,143.73 : 363,034.76 = 167,049.64 : x
  2. Step 2: Convert to fraction form
    242,143.73/363,034.76 = 167,049.64/x
  3. Step 3: Cross multiply
    242,143.73x = 363,034.76 × 167,049.64
  4. Step 4: Simplify right side
    242,143.73x = 60,644,826,523.69
  5. Step 5: Solve for x
    x = 60,644,826,523.69/242,143.73
  6. Step 6: Final answer
    x = 250,449.71

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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.