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Finding the Fourth Proportional to 165,012.74, 227,711.49 and 89,559.62

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Solution

The fourth proportional to 165,012.74, 227,711.49 and 89,559.62 is: 123,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,012.74 : 227,711.49 = 89,559.62 : x
  2. Step 2: Convert to fraction form
    165,012.74/227,711.49 = 89,559.62/x
  3. Step 3: Cross multiply
    165,012.74x = 227,711.49 × 89,559.62
  4. Step 4: Simplify right side
    165,012.74x = 20,393,754,514.03
  5. Step 5: Solve for x
    x = 20,393,754,514.03/165,012.74
  6. Step 6: Final answer
    x = 123,588.97

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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.