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Finding the Fourth Proportional to 299,724.14, 449,294.02 and 119,755.92

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Solution

The fourth proportional to 299,724.14, 449,294.02 and 119,755.92 is: 179,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,724.14 : 449,294.02 = 119,755.92 : x
  2. Step 2: Convert to fraction form
    299,724.14/449,294.02 = 119,755.92/x
  3. Step 3: Cross multiply
    299,724.14x = 449,294.02 × 119,755.92
  4. Step 4: Simplify right side
    299,724.14x = 53,805,618,715.60
  5. Step 5: Solve for x
    x = 53,805,618,715.60/299,724.14
  6. Step 6: Final answer
    x = 179,517.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.