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Finding the Fourth Proportional to 197,757.38, 272,921.96 and 111,732.17

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Solution

The fourth proportional to 197,757.38, 272,921.96 and 111,732.17 is: 154,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,757.38 : 272,921.96 = 111,732.17 : x
  2. Step 2: Convert to fraction form
    197,757.38/272,921.96 = 111,732.17/x
  3. Step 3: Cross multiply
    197,757.38x = 272,921.96 × 111,732.17
  4. Step 4: Simplify right side
    197,757.38x = 30,494,162,272.79
  5. Step 5: Solve for x
    x = 30,494,162,272.79/197,757.38
  6. Step 6: Final answer
    x = 154,199.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.