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Finding the Fourth Proportional to 299,419.80, 449,136.90 and 89,064.60

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Solution

The fourth proportional to 299,419.80, 449,136.90 and 89,064.60 is: 133,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,419.80 : 449,136.90 = 89,064.60 : x
  2. Step 2: Convert to fraction form
    299,419.80/449,136.90 = 89,064.60/x
  3. Step 3: Cross multiply
    299,419.80x = 449,136.90 × 89,064.60
  4. Step 4: Simplify right side
    299,419.80x = 40,002,198,343.74
  5. Step 5: Solve for x
    x = 40,002,198,343.74/299,419.80
  6. Step 6: Final answer
    x = 133,599.04

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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.