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Finding the Fourth Proportional to 206,633.46, 309,950.19 and 81,974.46

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Solution

The fourth proportional to 206,633.46, 309,950.19 and 81,974.46 is: 122,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,633.46 : 309,950.19 = 81,974.46 : x
  2. Step 2: Convert to fraction form
    206,633.46/309,950.19 = 81,974.46/x
  3. Step 3: Cross multiply
    206,633.46x = 309,950.19 × 81,974.46
  4. Step 4: Simplify right side
    206,633.46x = 25,407,999,452.15
  5. Step 5: Solve for x
    x = 25,407,999,452.15/206,633.46
  6. Step 6: Final answer
    x = 122,961.69

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1.5x scale

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.