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Finding the Fourth Proportional to 299,465.80, 449,198.70 and 149,729.20

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Solution

The fourth proportional to 299,465.80, 449,198.70 and 149,729.20 is: 224,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,465.80 : 449,198.70 = 149,729.20 : x
  2. Step 2: Convert to fraction form
    299,465.80/449,198.70 = 149,729.20/x
  3. Step 3: Cross multiply
    299,465.80x = 449,198.70 × 149,729.20
  4. Step 4: Simplify right side
    299,465.80x = 67,258,161,992.04
  5. Step 5: Solve for x
    x = 67,258,161,992.04/299,465.80
  6. Step 6: Final answer
    x = 224,593.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.