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Finding the Fourth Proportional to 206,012.97, 284,274.41 and 115,356.33

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Solution

The fourth proportional to 206,012.97, 284,274.41 and 115,356.33 is: 159,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,012.97 : 284,274.41 = 115,356.33 : x
  2. Step 2: Convert to fraction form
    206,012.97/284,274.41 = 115,356.33/x
  3. Step 3: Cross multiply
    206,012.97x = 284,274.41 × 115,356.33
  4. Step 4: Simplify right side
    206,012.97x = 32,792,852,073.73
  5. Step 5: Solve for x
    x = 32,792,852,073.73/206,012.97
  6. Step 6: Final answer
    x = 159,178.58

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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.