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Finding the Fourth Proportional to 186,839.32, 280,449.72 and 136,770.80

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Solution

The fourth proportional to 186,839.32, 280,449.72 and 136,770.80 is: 205,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,839.32 : 280,449.72 = 136,770.80 : x
  2. Step 2: Convert to fraction form
    186,839.32/280,449.72 = 136,770.80/x
  3. Step 3: Cross multiply
    186,839.32x = 280,449.72 × 136,770.80
  4. Step 4: Simplify right side
    186,839.32x = 38,357,332,564.18
  5. Step 5: Solve for x
    x = 38,357,332,564.18/186,839.32
  6. Step 6: Final answer
    x = 205,295.83

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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.