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Finding the Fourth Proportional to 206,201.30, 309,226.08 and 71,231.02

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Solution

The fourth proportional to 206,201.30, 309,226.08 and 71,231.02 is: 106,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,201.30 : 309,226.08 = 71,231.02 : x
  2. Step 2: Convert to fraction form
    206,201.30/309,226.08 = 71,231.02/x
  3. Step 3: Cross multiply
    206,201.30x = 309,226.08 × 71,231.02
  4. Step 4: Simplify right side
    206,201.30x = 22,026,489,089.00
  5. Step 5: Solve for x
    x = 22,026,489,089.00/206,201.30
  6. Step 6: Final answer
    x = 106,820.32

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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.