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Finding the Fourth Proportional to 206,649.96, 309,974.96 and 81,990.96

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Solution

The fourth proportional to 206,649.96, 309,974.96 and 81,990.96 is: 122,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,649.96 : 309,974.96 = 81,990.96 : x
  2. Step 2: Convert to fraction form
    206,649.96/309,974.96 = 81,990.96/x
  3. Step 3: Cross multiply
    206,649.96x = 309,974.96 × 81,990.96
  4. Step 4: Simplify right side
    206,649.96x = 25,415,144,546.36
  5. Step 5: Solve for x
    x = 25,415,144,546.36/206,649.96
  6. Step 6: Final answer
    x = 122,986.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.