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Finding the Fourth Proportional to 205,356.20, 308,034.30 and 182,805.80

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Solution

The fourth proportional to 205,356.20, 308,034.30 and 182,805.80 is: 274,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,356.20 : 308,034.30 = 182,805.80 : x
  2. Step 2: Convert to fraction form
    205,356.20/308,034.30 = 182,805.80/x
  3. Step 3: Cross multiply
    205,356.20x = 308,034.30 × 182,805.80
  4. Step 4: Simplify right side
    205,356.20x = 56,310,456,638.94
  5. Step 5: Solve for x
    x = 56,310,456,638.94/205,356.20
  6. Step 6: Final answer
    x = 274,208.70

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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.