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Finding the Fourth Proportional to 203,473.75, 280,793.78 and 114,049.75

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Solution

The fourth proportional to 203,473.75, 280,793.78 and 114,049.75 is: 157,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,473.75 : 280,793.78 = 114,049.75 : x
  2. Step 2: Convert to fraction form
    203,473.75/280,793.78 = 114,049.75/x
  3. Step 3: Cross multiply
    203,473.75x = 280,793.78 × 114,049.75
  4. Step 4: Simplify right side
    203,473.75x = 32,024,460,410.56
  5. Step 5: Solve for x
    x = 32,024,460,410.56/203,473.75
  6. Step 6: Final answer
    x = 157,388.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.