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Finding the Fourth Proportional to 200,046.20, 299,723.70 and 168,942.20

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Solution

The fourth proportional to 200,046.20, 299,723.70 and 168,942.20 is: 253,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,046.20 : 299,723.70 = 168,942.20 : x
  2. Step 2: Convert to fraction form
    200,046.20/299,723.70 = 168,942.20/x
  3. Step 3: Cross multiply
    200,046.20x = 299,723.70 × 168,942.20
  4. Step 4: Simplify right side
    200,046.20x = 50,635,981,270.14
  5. Step 5: Solve for x
    x = 50,635,981,270.14/200,046.20
  6. Step 6: Final answer
    x = 253,121.44

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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.