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Finding the Fourth Proportional to 203,469.84, 305,258.22 and 83,563.92

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Solution

The fourth proportional to 203,469.84, 305,258.22 and 83,563.92 is: 125,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,469.84 : 305,258.22 = 83,563.92 : x
  2. Step 2: Convert to fraction form
    203,469.84/305,258.22 = 83,563.92/x
  3. Step 3: Cross multiply
    203,469.84x = 305,258.22 × 83,563.92
  4. Step 4: Simplify right side
    203,469.84x = 25,508,573,475.42
  5. Step 5: Solve for x
    x = 25,508,573,475.42/203,469.84
  6. Step 6: Final answer
    x = 125,367.84

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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.