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Finding the Fourth Proportional to 206,628.30, 309,822.02 and 80,120.74

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Solution

The fourth proportional to 206,628.30, 309,822.02 and 80,120.74 is: 120,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,628.30 : 309,822.02 = 80,120.74 : x
  2. Step 2: Convert to fraction form
    206,628.30/309,822.02 = 80,120.74/x
  3. Step 3: Cross multiply
    206,628.30x = 309,822.02 × 80,120.74
  4. Step 4: Simplify right side
    206,628.30x = 24,823,169,510.69
  5. Step 5: Solve for x
    x = 24,823,169,510.69/206,628.30
  6. Step 6: Final answer
    x = 120,134.41

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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.