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Finding the Fourth Proportional to 198,857.19, 274,422.42 and 108,213.13

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Solution

The fourth proportional to 198,857.19, 274,422.42 and 108,213.13 is: 149,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,857.19 : 274,422.42 = 108,213.13 : x
  2. Step 2: Convert to fraction form
    198,857.19/274,422.42 = 108,213.13/x
  3. Step 3: Cross multiply
    198,857.19x = 274,422.42 × 108,213.13
  4. Step 4: Simplify right side
    198,857.19x = 29,696,109,010.37
  5. Step 5: Solve for x
    x = 29,696,109,010.37/198,857.19
  6. Step 6: Final answer
    x = 149,333.85

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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.