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Finding the Fourth Proportional to 206,471.14, 309,497.54 and 139,918

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Solution

The fourth proportional to 206,471.14, 309,497.54 and 139,918 is: 209,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,471.14 : 309,497.54 = 139,918 : x
  2. Step 2: Convert to fraction form
    206,471.14/309,497.54 = 139,918/x
  3. Step 3: Cross multiply
    206,471.14x = 309,497.54 × 139,918
  4. Step 4: Simplify right side
    206,471.14x = 43,304,276,801.72
  5. Step 5: Solve for x
    x = 43,304,276,801.72/206,471.14
  6. Step 6: Final answer
    x = 209,735.25

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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.