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Finding the Fourth Proportional to 200,768.48, 301,102.20 and 82,472.48

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Solution

The fourth proportional to 200,768.48, 301,102.20 and 82,472.48 is: 123,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.48 : 301,102.20 = 82,472.48 : x
  2. Step 2: Convert to fraction form
    200,768.48/301,102.20 = 82,472.48/x
  3. Step 3: Cross multiply
    200,768.48x = 301,102.20 × 82,472.48
  4. Step 4: Simplify right side
    200,768.48x = 24,832,645,167.46
  5. Step 5: Solve for x
    x = 24,832,645,167.46/200,768.48
  6. Step 6: Final answer
    x = 123,687.97

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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.