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Finding the Fourth Proportional to 218,540.21, 327,845.34 and 92,199.06

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Solution

The fourth proportional to 218,540.21, 327,845.34 and 92,199.06 is: 138,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,540.21 : 327,845.34 = 92,199.06 : x
  2. Step 2: Convert to fraction form
    218,540.21/327,845.34 = 92,199.06/x
  3. Step 3: Cross multiply
    218,540.21x = 327,845.34 × 92,199.06
  4. Step 4: Simplify right side
    218,540.21x = 30,227,032,173.38
  5. Step 5: Solve for x
    x = 30,227,032,173.38/218,540.21
  6. Step 6: Final answer
    x = 138,313.37

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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.