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Finding the Fourth Proportional to 206,474.27, 309,682.24 and 66,214.67

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Solution

The fourth proportional to 206,474.27, 309,682.24 and 66,214.67 is: 99,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,474.27 : 309,682.24 = 66,214.67 : x
  2. Step 2: Convert to fraction form
    206,474.27/309,682.24 = 66,214.67/x
  3. Step 3: Cross multiply
    206,474.27x = 309,682.24 × 66,214.67
  4. Step 4: Simplify right side
    206,474.27x = 20,505,505,612.51
  5. Step 5: Solve for x
    x = 20,505,505,612.51/206,474.27
  6. Step 6: Final answer
    x = 99,312.65

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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.