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Finding the Fourth Proportional to 206,470.14, 309,496.04 and 139,917

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Solution

The fourth proportional to 206,470.14, 309,496.04 and 139,917 is: 209,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,470.14 : 309,496.04 = 139,917 : x
  2. Step 2: Convert to fraction form
    206,470.14/309,496.04 = 139,917/x
  3. Step 3: Cross multiply
    206,470.14x = 309,496.04 × 139,917
  4. Step 4: Simplify right side
    206,470.14x = 43,303,757,428.68
  5. Step 5: Solve for x
    x = 43,303,757,428.68/206,470.14
  6. Step 6: Final answer
    x = 209,733.75

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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.