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Finding the Fourth Proportional to 206,716.26, 285,264.81 and 116,072.94

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Solution

The fourth proportional to 206,716.26, 285,264.81 and 116,072.94 is: 160,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,716.26 : 285,264.81 = 116,072.94 : x
  2. Step 2: Convert to fraction form
    206,716.26/285,264.81 = 116,072.94/x
  3. Step 3: Cross multiply
    206,716.26x = 285,264.81 × 116,072.94
  4. Step 4: Simplify right side
    206,716.26x = 33,111,525,175.24
  5. Step 5: Solve for x
    x = 33,111,525,175.24/206,716.26
  6. Step 6: Final answer
    x = 160,178.62

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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.