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Finding the Fourth Proportional to 267,786.57, 401,678.12 and 68,105.24

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Solution

The fourth proportional to 267,786.57, 401,678.12 and 68,105.24 is: 102,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,786.57 : 401,678.12 = 68,105.24 : x
  2. Step 2: Convert to fraction form
    267,786.57/401,678.12 = 68,105.24/x
  3. Step 3: Cross multiply
    267,786.57x = 401,678.12 × 68,105.24
  4. Step 4: Simplify right side
    267,786.57x = 27,356,384,433.51
  5. Step 5: Solve for x
    x = 27,356,384,433.51/267,786.57
  6. Step 6: Final answer
    x = 102,157.42

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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.