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Finding the Fourth Proportional to 199,414.24, 275,187.28 and 109,990.24

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Solution

The fourth proportional to 199,414.24, 275,187.28 and 109,990.24 is: 151,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,414.24 : 275,187.28 = 109,990.24 : x
  2. Step 2: Convert to fraction form
    199,414.24/275,187.28 = 109,990.24/x
  3. Step 3: Cross multiply
    199,414.24x = 275,187.28 × 109,990.24
  4. Step 4: Simplify right side
    199,414.24x = 30,267,914,972.15
  5. Step 5: Solve for x
    x = 30,267,914,972.15/199,414.24
  6. Step 6: Final answer
    x = 151,784.12

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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.