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Finding the Fourth Proportional to 299,234.20, 448,851.30 and 204,755.80

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Solution

The fourth proportional to 299,234.20, 448,851.30 and 204,755.80 is: 307,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,234.20 : 448,851.30 = 204,755.80 : x
  2. Step 2: Convert to fraction form
    299,234.20/448,851.30 = 204,755.80/x
  3. Step 3: Cross multiply
    299,234.20x = 448,851.30 × 204,755.80
  4. Step 4: Simplify right side
    299,234.20x = 91,904,907,012.54
  5. Step 5: Solve for x
    x = 91,904,907,012.54/299,234.20
  6. Step 6: Final answer
    x = 307,133.70

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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.