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Finding the Fourth Proportional to 204,823.80, 307,235.70 and 80,164.80

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Solution

The fourth proportional to 204,823.80, 307,235.70 and 80,164.80 is: 120,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,823.80 : 307,235.70 = 80,164.80 : x
  2. Step 2: Convert to fraction form
    204,823.80/307,235.70 = 80,164.80/x
  3. Step 3: Cross multiply
    204,823.80x = 307,235.70 × 80,164.80
  4. Step 4: Simplify right side
    204,823.80x = 24,629,488,443.36
  5. Step 5: Solve for x
    x = 24,629,488,443.36/204,823.80
  6. Step 6: Final answer
    x = 120,247.20

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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.