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Finding the Fourth Proportional to 200,872.34, 301,296.12 and 82,540.68

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Solution

The fourth proportional to 200,872.34, 301,296.12 and 82,540.68 is: 123,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,872.34 : 301,296.12 = 82,540.68 : x
  2. Step 2: Convert to fraction form
    200,872.34/301,296.12 = 82,540.68/x
  3. Step 3: Cross multiply
    200,872.34x = 301,296.12 × 82,540.68
  4. Step 4: Simplify right side
    200,872.34x = 24,869,186,626.16
  5. Step 5: Solve for x
    x = 24,869,186,626.16/200,872.34
  6. Step 6: Final answer
    x = 123,805.93

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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.