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Finding the Fourth Proportional to 300,883.41, 415,202.22 and 164,891.43

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Solution

The fourth proportional to 300,883.41, 415,202.22 and 164,891.43 is: 227,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,883.41 : 415,202.22 = 164,891.43 : x
  2. Step 2: Convert to fraction form
    300,883.41/415,202.22 = 164,891.43/x
  3. Step 3: Cross multiply
    300,883.41x = 415,202.22 × 164,891.43
  4. Step 4: Simplify right side
    300,883.41x = 68,463,287,794.97
  5. Step 5: Solve for x
    x = 68,463,287,794.97/300,883.41
  6. Step 6: Final answer
    x = 227,540.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.