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Finding the Fourth Proportional to 115,516.28, 159,412.42 and 65,215.32

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Solution

The fourth proportional to 115,516.28, 159,412.42 and 65,215.32 is: 89,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,516.28 : 159,412.42 = 65,215.32 : x
  2. Step 2: Convert to fraction form
    115,516.28/159,412.42 = 65,215.32/x
  3. Step 3: Cross multiply
    115,516.28x = 159,412.42 × 65,215.32
  4. Step 4: Simplify right side
    115,516.28x = 10,396,131,982.27
  5. Step 5: Solve for x
    x = 10,396,131,982.27/115,516.28
  6. Step 6: Final answer
    x = 89,997.12

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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.