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Finding the Fourth Proportional to 209,489.38, 289,098.85 and 113,997.54

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Solution

The fourth proportional to 209,489.38, 289,098.85 and 113,997.54 is: 157,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,489.38 : 289,098.85 = 113,997.54 : x
  2. Step 2: Convert to fraction form
    209,489.38/289,098.85 = 113,997.54/x
  3. Step 3: Cross multiply
    209,489.38x = 289,098.85 × 113,997.54
  4. Step 4: Simplify right side
    209,489.38x = 32,956,557,716.83
  5. Step 5: Solve for x
    x = 32,956,557,716.83/209,489.38
  6. Step 6: Final answer
    x = 157,318.51

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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.