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Finding the Fourth Proportional to 203,797.08, 305,695.32 and 133,659.96

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Solution

The fourth proportional to 203,797.08, 305,695.32 and 133,659.96 is: 200,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,797.08 : 305,695.32 = 133,659.96 : x
  2. Step 2: Convert to fraction form
    203,797.08/305,695.32 = 133,659.96/x
  3. Step 3: Cross multiply
    203,797.08x = 305,695.32 × 133,659.96
  4. Step 4: Simplify right side
    203,797.08x = 40,859,224,243.39
  5. Step 5: Solve for x
    x = 40,859,224,243.39/203,797.08
  6. Step 6: Final answer
    x = 200,489.74

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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.