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Finding the Fourth Proportional to 194,294.80, 268,132.02 and 109,414.84

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Solution

The fourth proportional to 194,294.80, 268,132.02 and 109,414.84 is: 150,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,294.80 : 268,132.02 = 109,414.84 : x
  2. Step 2: Convert to fraction form
    194,294.80/268,132.02 = 109,414.84/x
  3. Step 3: Cross multiply
    194,294.80x = 268,132.02 × 109,414.84
  4. Step 4: Simplify right side
    194,294.80x = 29,337,622,067.18
  5. Step 5: Solve for x
    x = 29,337,622,067.18/194,294.80
  6. Step 6: Final answer
    x = 150,995.41

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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.