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Finding the Fourth Proportional to 107,481.36, 161,249.58 and 75,954

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Solution

The fourth proportional to 107,481.36, 161,249.58 and 75,954 is: 113,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,481.36 : 161,249.58 = 75,954 : x
  2. Step 2: Convert to fraction form
    107,481.36/161,249.58 = 75,954/x
  3. Step 3: Cross multiply
    107,481.36x = 161,249.58 × 75,954
  4. Step 4: Simplify right side
    107,481.36x = 12,247,550,599.32
  5. Step 5: Solve for x
    x = 12,247,550,599.32/107,481.36
  6. Step 6: Final answer
    x = 113,950.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.