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Finding the Fourth Proportional to 165,118.50, 227,863.53 and 89,667

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Solution

The fourth proportional to 165,118.50, 227,863.53 and 89,667 is: 123,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,118.50 : 227,863.53 = 89,667 : x
  2. Step 2: Convert to fraction form
    165,118.50/227,863.53 = 89,667/x
  3. Step 3: Cross multiply
    165,118.50x = 227,863.53 × 89,667
  4. Step 4: Simplify right side
    165,118.50x = 20,431,839,144.51
  5. Step 5: Solve for x
    x = 20,431,839,144.51/165,118.50
  6. Step 6: Final answer
    x = 123,740.46

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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.