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Finding the Fourth Proportional to 200,422.58, 300,633.33 and 82,094

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Solution

The fourth proportional to 200,422.58, 300,633.33 and 82,094 is: 123,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,422.58 : 300,633.33 = 82,094 : x
  2. Step 2: Convert to fraction form
    200,422.58/300,633.33 = 82,094/x
  3. Step 3: Cross multiply
    200,422.58x = 300,633.33 × 82,094
  4. Step 4: Simplify right side
    200,422.58x = 24,680,192,593.02
  5. Step 5: Solve for x
    x = 24,680,192,593.02/200,422.58
  6. Step 6: Final answer
    x = 123,140.78

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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.