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Finding the Fourth Proportional to 218,105.36, 327,181.50 and 91,758.48

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Solution

The fourth proportional to 218,105.36, 327,181.50 and 91,758.48 is: 137,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,105.36 : 327,181.50 = 91,758.48 : x
  2. Step 2: Convert to fraction form
    218,105.36/327,181.50 = 91,758.48/x
  3. Step 3: Cross multiply
    218,105.36x = 327,181.50 × 91,758.48
  4. Step 4: Simplify right side
    218,105.36x = 30,021,677,124.12
  5. Step 5: Solve for x
    x = 30,021,677,124.12/218,105.36
  6. Step 6: Final answer
    x = 137,647.59

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