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Finding the Fourth Proportional to 204,033.20, 306,049.80 and 162,042.80

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Solution

The fourth proportional to 204,033.20, 306,049.80 and 162,042.80 is: 243,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033.20 : 306,049.80 = 162,042.80 : x
  2. Step 2: Convert to fraction form
    204,033.20/306,049.80 = 162,042.80/x
  3. Step 3: Cross multiply
    204,033.20x = 306,049.80 × 162,042.80
  4. Step 4: Simplify right side
    204,033.20x = 49,593,166,531.44
  5. Step 5: Solve for x
    x = 49,593,166,531.44/204,033.20
  6. Step 6: Final answer
    x = 243,064.20

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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.