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Finding the Fourth Proportional to 299,386.80, 449,086.56 and 107,273.74

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Solution

The fourth proportional to 299,386.80, 449,086.56 and 107,273.74 is: 160,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,386.80 : 449,086.56 = 107,273.74 : x
  2. Step 2: Convert to fraction form
    299,386.80/449,086.56 = 107,273.74/x
  3. Step 3: Cross multiply
    299,386.80x = 449,086.56 × 107,273.74
  4. Step 4: Simplify right side
    299,386.80x = 48,175,193,752.22
  5. Step 5: Solve for x
    x = 48,175,193,752.22/299,386.80
  6. Step 6: Final answer
    x = 160,912.88

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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.