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Finding the Fourth Proportional to 209,026.12, 313,324.38 and 82,615

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Solution

The fourth proportional to 209,026.12, 313,324.38 and 82,615 is: 123,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,026.12 : 313,324.38 = 82,615 : x
  2. Step 2: Convert to fraction form
    209,026.12/313,324.38 = 82,615/x
  3. Step 3: Cross multiply
    209,026.12x = 313,324.38 × 82,615
  4. Step 4: Simplify right side
    209,026.12x = 25,885,293,653.70
  5. Step 5: Solve for x
    x = 25,885,293,653.70/209,026.12
  6. Step 6: Final answer
    x = 123,837.60

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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.