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Finding the Fourth Proportional to 165,040.50, 227,756.16 and 89,589

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Solution

The fourth proportional to 165,040.50, 227,756.16 and 89,589 is: 123,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,040.50 : 227,756.16 = 89,589 : x
  2. Step 2: Convert to fraction form
    165,040.50/227,756.16 = 89,589/x
  3. Step 3: Cross multiply
    165,040.50x = 227,756.16 × 89,589
  4. Step 4: Simplify right side
    165,040.50x = 20,404,446,618.24
  5. Step 5: Solve for x
    x = 20,404,446,618.24/165,040.50
  6. Step 6: Final answer
    x = 123,632.97

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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.