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Finding the Fourth Proportional to 299,672.41, 449,358.13 and 99,922.09

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Solution

The fourth proportional to 299,672.41, 449,358.13 and 99,922.09 is: 149,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,672.41 : 449,358.13 = 99,922.09 : x
  2. Step 2: Convert to fraction form
    299,672.41/449,358.13 = 99,922.09/x
  3. Step 3: Cross multiply
    299,672.41x = 449,358.13 × 99,922.09
  4. Step 4: Simplify right side
    299,672.41x = 44,900,803,508.09
  5. Step 5: Solve for x
    x = 44,900,803,508.09/299,672.41
  6. Step 6: Final answer
    x = 149,832.96

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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.