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Finding the Fourth Proportional to 199,217.86, 274,912.62 and 108,571.90

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Solution

The fourth proportional to 199,217.86, 274,912.62 and 108,571.90 is: 149,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,217.86 : 274,912.62 = 108,571.90 : x
  2. Step 2: Convert to fraction form
    199,217.86/274,912.62 = 108,571.90/x
  3. Step 3: Cross multiply
    199,217.86x = 274,912.62 × 108,571.90
  4. Step 4: Simplify right side
    199,217.86x = 29,847,785,487.38
  5. Step 5: Solve for x
    x = 29,847,785,487.38/199,217.86
  6. Step 6: Final answer
    x = 149,824.85

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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.