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Finding the Fourth Proportional to 204,696.45, 282,501.90 and 114,067.17

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Solution

The fourth proportional to 204,696.45, 282,501.90 and 114,067.17 is: 157,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,696.45 : 282,501.90 = 114,067.17 : x
  2. Step 2: Convert to fraction form
    204,696.45/282,501.90 = 114,067.17/x
  3. Step 3: Cross multiply
    204,696.45x = 282,501.90 × 114,067.17
  4. Step 4: Simplify right side
    204,696.45x = 32,224,192,252.62
  5. Step 5: Solve for x
    x = 32,224,192,252.62/204,696.45
  6. Step 6: Final answer
    x = 157,424.28

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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.