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Finding the Fourth Proportional to 299,892.54, 449,691.93 and 100,144.38

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Solution

The fourth proportional to 299,892.54, 449,691.93 and 100,144.38 is: 150,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,892.54 : 449,691.93 = 100,144.38 : x
  2. Step 2: Convert to fraction form
    299,892.54/449,691.93 = 100,144.38/x
  3. Step 3: Cross multiply
    299,892.54x = 449,691.93 × 100,144.38
  4. Step 4: Simplify right side
    299,892.54x = 45,034,119,520.85
  5. Step 5: Solve for x
    x = 45,034,119,520.85/299,892.54
  6. Step 6: Final answer
    x = 150,167.52

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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.