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Finding the Fourth Proportional to 205,080.20, 307,620.30 and 182,961.80

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Solution

The fourth proportional to 205,080.20, 307,620.30 and 182,961.80 is: 274,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,080.20 : 307,620.30 = 182,961.80 : x
  2. Step 2: Convert to fraction form
    205,080.20/307,620.30 = 182,961.80/x
  3. Step 3: Cross multiply
    205,080.20x = 307,620.30 × 182,961.80
  4. Step 4: Simplify right side
    205,080.20x = 56,282,763,804.54
  5. Step 5: Solve for x
    x = 56,282,763,804.54/205,080.20
  6. Step 6: Final answer
    x = 274,442.70

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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.