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Finding the Fourth Proportional to 203,468.80, 305,203.20 and 193,100.80

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Solution

The fourth proportional to 203,468.80, 305,203.20 and 193,100.80 is: 289,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,468.80 : 305,203.20 = 193,100.80 : x
  2. Step 2: Convert to fraction form
    203,468.80/305,203.20 = 193,100.80/x
  3. Step 3: Cross multiply
    203,468.80x = 305,203.20 × 193,100.80
  4. Step 4: Simplify right side
    203,468.80x = 58,934,982,082.56
  5. Step 5: Solve for x
    x = 58,934,982,082.56/203,468.80
  6. Step 6: Final answer
    x = 289,651.20

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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.