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Finding the Fourth Proportional to 225,988.11, 338,965.65 and 106,072.38

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Solution

The fourth proportional to 225,988.11, 338,965.65 and 106,072.38 is: 159,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,988.11 : 338,965.65 = 106,072.38 : x
  2. Step 2: Convert to fraction form
    225,988.11/338,965.65 = 106,072.38/x
  3. Step 3: Cross multiply
    225,988.11x = 338,965.65 × 106,072.38
  4. Step 4: Simplify right side
    225,988.11x = 35,954,893,233.75
  5. Step 5: Solve for x
    x = 35,954,893,233.75/225,988.11
  6. Step 6: Final answer
    x = 159,100.82

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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.