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Finding the Fourth Proportional to 203,892.30, 305,882.22 and 79,233.30

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Solution

The fourth proportional to 203,892.30, 305,882.22 and 79,233.30 is: 118,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892.30 : 305,882.22 = 79,233.30 : x
  2. Step 2: Convert to fraction form
    203,892.30/305,882.22 = 79,233.30/x
  3. Step 3: Cross multiply
    203,892.30x = 305,882.22 × 79,233.30
  4. Step 4: Simplify right side
    203,892.30x = 24,236,057,701.93
  5. Step 5: Solve for x
    x = 24,236,057,701.93/203,892.30
  6. Step 6: Final answer
    x = 118,866.96

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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.