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Finding the Fourth Proportional to 240,160.14, 331,171.74 and 206,280

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Solution

The fourth proportional to 240,160.14, 331,171.74 and 206,280 is: 284,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,160.14 : 331,171.74 = 206,280 : x
  2. Step 2: Convert to fraction form
    240,160.14/331,171.74 = 206,280/x
  3. Step 3: Cross multiply
    240,160.14x = 331,171.74 × 206,280
  4. Step 4: Simplify right side
    240,160.14x = 68,314,106,527.20
  5. Step 5: Solve for x
    x = 68,314,106,527.20/240,160.14
  6. Step 6: Final answer
    x = 284,452.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.