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Finding the Fourth Proportional to 205,300.80, 307,951.20 and 182,491.20

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Solution

The fourth proportional to 205,300.80, 307,951.20 and 182,491.20 is: 273,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.80 : 307,951.20 = 182,491.20 : x
  2. Step 2: Convert to fraction form
    205,300.80/307,951.20 = 182,491.20/x
  3. Step 3: Cross multiply
    205,300.80x = 307,951.20 × 182,491.20
  4. Step 4: Simplify right side
    205,300.80x = 56,198,384,029.44
  5. Step 5: Solve for x
    x = 56,198,384,029.44/205,300.80
  6. Step 6: Final answer
    x = 273,736.80

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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.