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Finding the Fourth Proportional to 204,196.39, 281,749.72 and 119,297.05

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Solution

The fourth proportional to 204,196.39, 281,749.72 and 119,297.05 is: 164,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,196.39 : 281,749.72 = 119,297.05 : x
  2. Step 2: Convert to fraction form
    204,196.39/281,749.72 = 119,297.05/x
  3. Step 3: Cross multiply
    204,196.39x = 281,749.72 × 119,297.05
  4. Step 4: Simplify right side
    204,196.39x = 33,611,910,434.33
  5. Step 5: Solve for x
    x = 33,611,910,434.33/204,196.39
  6. Step 6: Final answer
    x = 164,605.80

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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.