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Finding the Fourth Proportional to 198,925.82, 274,523.82 and 108,287.82

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Solution

The fourth proportional to 198,925.82, 274,523.82 and 108,287.82 is: 149,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,925.82 : 274,523.82 = 108,287.82 : x
  2. Step 2: Convert to fraction form
    198,925.82/274,523.82 = 108,287.82/x
  3. Step 3: Cross multiply
    198,925.82x = 274,523.82 × 108,287.82
  4. Step 4: Simplify right side
    198,925.82x = 29,727,586,005.87
  5. Step 5: Solve for x
    x = 29,727,586,005.87/198,925.82
  6. Step 6: Final answer
    x = 149,440.56

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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.