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Finding the Fourth Proportional to 115,243.26, 158,930.01 and 78,997.38

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Solution

The fourth proportional to 115,243.26, 158,930.01 and 78,997.38 is: 108,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,243.26 : 158,930.01 = 78,997.38 : x
  2. Step 2: Convert to fraction form
    115,243.26/158,930.01 = 78,997.38/x
  3. Step 3: Cross multiply
    115,243.26x = 158,930.01 × 78,997.38
  4. Step 4: Simplify right side
    115,243.26x = 12,555,054,393.37
  5. Step 5: Solve for x
    x = 12,555,054,393.37/115,243.26
  6. Step 6: Final answer
    x = 108,943.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.