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Finding the Fourth Proportional to 180,950.97, 271,428.21 and 68,601

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Solution

The fourth proportional to 180,950.97, 271,428.21 and 68,601 is: 102,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,950.97 : 271,428.21 = 68,601 : x
  2. Step 2: Convert to fraction form
    180,950.97/271,428.21 = 68,601/x
  3. Step 3: Cross multiply
    180,950.97x = 271,428.21 × 68,601
  4. Step 4: Simplify right side
    180,950.97x = 18,620,246,634.21
  5. Step 5: Solve for x
    x = 18,620,246,634.21/180,950.97
  6. Step 6: Final answer
    x = 102,902.17

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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.