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Finding the Fourth Proportional to 115,400.08, 159,266.28 and 65,098

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Solution

The fourth proportional to 115,400.08, 159,266.28 and 65,098 is: 89,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,400.08 : 159,266.28 = 65,098 : x
  2. Step 2: Convert to fraction form
    115,400.08/159,266.28 = 65,098/x
  3. Step 3: Cross multiply
    115,400.08x = 159,266.28 × 65,098
  4. Step 4: Simplify right side
    115,400.08x = 10,367,916,295.44
  5. Step 5: Solve for x
    x = 10,367,916,295.44/115,400.08
  6. Step 6: Final answer
    x = 89,843.23

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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.