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Finding the Fourth Proportional to 206,100, 309,194.10 and 63,942.21

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Solution

The fourth proportional to 206,100, 309,194.10 and 63,942.21 is: 95,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,100 : 309,194.10 = 63,942.21 : x
  2. Step 2: Convert to fraction form
    206,100/309,194.10 = 63,942.21/x
  3. Step 3: Cross multiply
    206,100x = 309,194.10 × 63,942.21
  4. Step 4: Simplify right side
    206,100x = 19,770,554,072.96
  5. Step 5: Solve for x
    x = 19,770,554,072.96/206,100
  6. Step 6: Final answer
    x = 95,927.00

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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.