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Finding the Fourth Proportional to 196,178.41, 270,716.97 and 108,969.17

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Solution

The fourth proportional to 196,178.41, 270,716.97 and 108,969.17 is: 150,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,178.41 : 270,716.97 = 108,969.17 : x
  2. Step 2: Convert to fraction form
    196,178.41/270,716.97 = 108,969.17/x
  3. Step 3: Cross multiply
    196,178.41x = 270,716.97 × 108,969.17
  4. Step 4: Simplify right side
    196,178.41x = 29,499,802,172.23
  5. Step 5: Solve for x
    x = 29,499,802,172.23/196,178.41
  6. Step 6: Final answer
    x = 150,372.32

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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.