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Finding the Fourth Proportional to 203,418.30, 305,127.45 and 98,247.90

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Solution

The fourth proportional to 203,418.30, 305,127.45 and 98,247.90 is: 147,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,418.30 : 305,127.45 = 98,247.90 : x
  2. Step 2: Convert to fraction form
    203,418.30/305,127.45 = 98,247.90/x
  3. Step 3: Cross multiply
    203,418.30x = 305,127.45 × 98,247.90
  4. Step 4: Simplify right side
    203,418.30x = 29,978,131,194.86
  5. Step 5: Solve for x
    x = 29,978,131,194.86/203,418.30
  6. Step 6: Final answer
    x = 147,371.85

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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.