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Finding the Fourth Proportional to 204,211.14, 281,770 and 119,311.80

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Solution

The fourth proportional to 204,211.14, 281,770 and 119,311.80 is: 164,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.14 : 281,770 = 119,311.80 : x
  2. Step 2: Convert to fraction form
    204,211.14/281,770 = 119,311.80/x
  3. Step 3: Cross multiply
    204,211.14x = 281,770 × 119,311.80
  4. Step 4: Simplify right side
    204,211.14x = 33,618,485,886
  5. Step 5: Solve for x
    x = 33,618,485,886/204,211.14
  6. Step 6: Final answer
    x = 164,626.11

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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.