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Finding the Fourth Proportional to 226,252.74, 338,862.42 and 108,007.14

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Solution

The fourth proportional to 226,252.74, 338,862.42 and 108,007.14 is: 161,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,252.74 : 338,862.42 = 108,007.14 : x
  2. Step 2: Convert to fraction form
    226,252.74/338,862.42 = 108,007.14/x
  3. Step 3: Cross multiply
    226,252.74x = 338,862.42 × 108,007.14
  4. Step 4: Simplify right side
    226,252.74x = 36,599,560,837.68
  5. Step 5: Solve for x
    x = 36,599,560,837.68/226,252.74
  6. Step 6: Final answer
    x = 161,764.06

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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.