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Finding the Fourth Proportional to 299,741.55, 449,571.29 and 100,057.38

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Solution

The fourth proportional to 299,741.55, 449,571.29 and 100,057.38 is: 150,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,741.55 : 449,571.29 = 100,057.38 : x
  2. Step 2: Convert to fraction form
    299,741.55/449,571.29 = 100,057.38/x
  3. Step 3: Cross multiply
    299,741.55x = 449,571.29 × 100,057.38
  4. Step 4: Simplify right side
    299,741.55x = 44,982,924,900.33
  5. Step 5: Solve for x
    x = 44,982,924,900.33/299,741.55
  6. Step 6: Final answer
    x = 150,072.37

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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.