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Finding the Fourth Proportional to 299,742.80, 449,614.20 and 181,353.20

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Solution

The fourth proportional to 299,742.80, 449,614.20 and 181,353.20 is: 272,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,742.80 : 449,614.20 = 181,353.20 : x
  2. Step 2: Convert to fraction form
    299,742.80/449,614.20 = 181,353.20/x
  3. Step 3: Cross multiply
    299,742.80x = 449,614.20 × 181,353.20
  4. Step 4: Simplify right side
    299,742.80x = 81,538,973,935.44
  5. Step 5: Solve for x
    x = 81,538,973,935.44/299,742.80
  6. Step 6: Final answer
    x = 272,029.80

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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.