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Finding the Fourth Proportional to 234,174.75, 351,277.76 and 82,353.61

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Solution

The fourth proportional to 234,174.75, 351,277.76 and 82,353.61 is: 123,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,174.75 : 351,277.76 = 82,353.61 : x
  2. Step 2: Convert to fraction form
    234,174.75/351,277.76 = 82,353.61/x
  3. Step 3: Cross multiply
    234,174.75x = 351,277.76 × 82,353.61
  4. Step 4: Simplify right side
    234,174.75x = 28,928,992,293.69
  5. Step 5: Solve for x
    x = 28,928,992,293.69/234,174.75
  6. Step 6: Final answer
    x = 123,535.92

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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.