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Finding the Fourth Proportional to 115,542.44, 159,348.74 and 75,241

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Solution

The fourth proportional to 115,542.44, 159,348.74 and 75,241 is: 103,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,542.44 : 159,348.74 = 75,241 : x
  2. Step 2: Convert to fraction form
    115,542.44/159,348.74 = 75,241/x
  3. Step 3: Cross multiply
    115,542.44x = 159,348.74 × 75,241
  4. Step 4: Simplify right side
    115,542.44x = 11,989,558,546.34
  5. Step 5: Solve for x
    x = 11,989,558,546.34/115,542.44
  6. Step 6: Final answer
    x = 103,767.57

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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.