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Finding the Fourth Proportional to 204,823.20, 307,234.80 and 110,344.80

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Solution

The fourth proportional to 204,823.20, 307,234.80 and 110,344.80 is: 165,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,823.20 : 307,234.80 = 110,344.80 : x
  2. Step 2: Convert to fraction form
    204,823.20/307,234.80 = 110,344.80/x
  3. Step 3: Cross multiply
    204,823.20x = 307,234.80 × 110,344.80
  4. Step 4: Simplify right side
    204,823.20x = 33,901,762,559.04
  5. Step 5: Solve for x
    x = 33,901,762,559.04/204,823.20
  6. Step 6: Final answer
    x = 165,517.20

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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.