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Finding the Fourth Proportional to 204,654.99, 280,378.35 and 196,984.67

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Solution

The fourth proportional to 204,654.99, 280,378.35 and 196,984.67 is: 269,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,654.99 : 280,378.35 = 196,984.67 : x
  2. Step 2: Convert to fraction form
    204,654.99/280,378.35 = 196,984.67/x
  3. Step 3: Cross multiply
    204,654.99x = 280,378.35 × 196,984.67
  4. Step 4: Simplify right side
    204,654.99x = 55,230,235,556.49
  5. Step 5: Solve for x
    x = 55,230,235,556.49/204,654.99
  6. Step 6: Final answer
    x = 269,869.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.