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Finding the Fourth Proportional to 198,644.13, 274,128.94 and 109,220.13

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Solution

The fourth proportional to 198,644.13, 274,128.94 and 109,220.13 is: 150,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,644.13 : 274,128.94 = 109,220.13 : x
  2. Step 2: Convert to fraction form
    198,644.13/274,128.94 = 109,220.13/x
  3. Step 3: Cross multiply
    198,644.13x = 274,128.94 × 109,220.13
  4. Step 4: Simplify right side
    198,644.13x = 29,940,398,463.56
  5. Step 5: Solve for x
    x = 29,940,398,463.56/198,644.13
  6. Step 6: Final answer
    x = 150,723.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.