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Finding the Fourth Proportional to 205,872.60, 308,732.10 and 81,187.80

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Solution

The fourth proportional to 205,872.60, 308,732.10 and 81,187.80 is: 121,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,872.60 : 308,732.10 = 81,187.80 : x
  2. Step 2: Convert to fraction form
    205,872.60/308,732.10 = 81,187.80/x
  3. Step 3: Cross multiply
    205,872.60x = 308,732.10 × 81,187.80
  4. Step 4: Simplify right side
    205,872.60x = 25,065,279,988.38
  5. Step 5: Solve for x
    x = 25,065,279,988.38/205,872.60
  6. Step 6: Final answer
    x = 121,751.41

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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.