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Finding the Fourth Proportional to 198,999.38, 274,615.21 and 108,356.43

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Solution

The fourth proportional to 198,999.38, 274,615.21 and 108,356.43 is: 149,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,999.38 : 274,615.21 = 108,356.43 : x
  2. Step 2: Convert to fraction form
    198,999.38/274,615.21 = 108,356.43/x
  3. Step 3: Cross multiply
    198,999.38x = 274,615.21 × 108,356.43
  4. Step 4: Simplify right side
    198,999.38x = 29,756,324,944.55
  5. Step 5: Solve for x
    x = 29,756,324,944.55/198,999.38
  6. Step 6: Final answer
    x = 149,529.74

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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.