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Finding the Fourth Proportional to 206,296.96, 309,395.04 and 66,026.56

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Solution

The fourth proportional to 206,296.96, 309,395.04 and 66,026.56 is: 99,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,296.96 : 309,395.04 = 66,026.56 : x
  2. Step 2: Convert to fraction form
    206,296.96/309,395.04 = 66,026.56/x
  3. Step 3: Cross multiply
    206,296.96x = 309,395.04 × 66,026.56
  4. Step 4: Simplify right side
    206,296.96x = 20,428,290,172.26
  5. Step 5: Solve for x
    x = 20,428,290,172.26/206,296.96
  6. Step 6: Final answer
    x = 99,023.71

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Why These Related Problems?

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