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Finding the Fourth Proportional to 165,198.82, 227,974.57 and 89,747.32

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Solution

The fourth proportional to 165,198.82, 227,974.57 and 89,747.32 is: 123,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,198.82 : 227,974.57 = 89,747.32 : x
  2. Step 2: Convert to fraction form
    165,198.82/227,974.57 = 89,747.32/x
  3. Step 3: Cross multiply
    165,198.82x = 227,974.57 × 89,747.32
  4. Step 4: Simplify right side
    165,198.82x = 20,460,105,097.04
  5. Step 5: Solve for x
    x = 20,460,105,097.04/165,198.82
  6. Step 6: Final answer
    x = 123,851.40

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