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Finding the Fourth Proportional to 222,624.48, 334,067.76 and 82,480.80

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Solution

The fourth proportional to 222,624.48, 334,067.76 and 82,480.80 is: 123,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,624.48 : 334,067.76 = 82,480.80 : x
  2. Step 2: Convert to fraction form
    222,624.48/334,067.76 = 82,480.80/x
  3. Step 3: Cross multiply
    222,624.48x = 334,067.76 × 82,480.80
  4. Step 4: Simplify right side
    222,624.48x = 27,554,176,099.01
  5. Step 5: Solve for x
    x = 27,554,176,099.01/222,624.48
  6. Step 6: Final answer
    x = 123,769.75

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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.