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Finding the Fourth Proportional to 206,416.24, 309,585.36 and 73,291.12

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Solution

The fourth proportional to 206,416.24, 309,585.36 and 73,291.12 is: 109,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.24 : 309,585.36 = 73,291.12 : x
  2. Step 2: Convert to fraction form
    206,416.24/309,585.36 = 73,291.12/x
  3. Step 3: Cross multiply
    206,416.24x = 309,585.36 × 73,291.12
  4. Step 4: Simplify right side
    206,416.24x = 22,689,857,770.00
  5. Step 5: Solve for x
    x = 22,689,857,770.00/206,416.24
  6. Step 6: Final answer
    x = 109,922.83

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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.