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Finding the Fourth Proportional to 198,993.70, 274,616.22 and 108,354.63

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Solution

The fourth proportional to 198,993.70, 274,616.22 and 108,354.63 is: 149,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,993.70 : 274,616.22 = 108,354.63 : x
  2. Step 2: Convert to fraction form
    198,993.70/274,616.22 = 108,354.63/x
  3. Step 3: Cross multiply
    198,993.70x = 274,616.22 × 108,354.63
  4. Step 4: Simplify right side
    198,993.70x = 29,755,938,910.10
  5. Step 5: Solve for x
    x = 29,755,938,910.10/198,993.70
  6. Step 6: Final answer
    x = 149,532.07

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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.