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Finding the Fourth Proportional to 205,983.40, 308,744.70 and 87,634.60

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Solution

The fourth proportional to 205,983.40, 308,744.70 and 87,634.60 is: 131,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,983.40 : 308,744.70 = 87,634.60 : x
  2. Step 2: Convert to fraction form
    205,983.40/308,744.70 = 87,634.60/x
  3. Step 3: Cross multiply
    205,983.40x = 308,744.70 × 87,634.60
  4. Step 4: Simplify right side
    205,983.40x = 27,056,718,286.62
  5. Step 5: Solve for x
    x = 27,056,718,286.62/205,983.40
  6. Step 6: Final answer
    x = 131,353.88

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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.