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Finding the Fourth Proportional to 204,091.39, 281,649.50 and 112,214.55

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Solution

The fourth proportional to 204,091.39, 281,649.50 and 112,214.55 is: 154,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,091.39 : 281,649.50 = 112,214.55 : x
  2. Step 2: Convert to fraction form
    204,091.39/281,649.50 = 112,214.55/x
  3. Step 3: Cross multiply
    204,091.39x = 281,649.50 × 112,214.55
  4. Step 4: Simplify right side
    204,091.39x = 31,605,173,447.35
  5. Step 5: Solve for x
    x = 31,605,173,447.35/204,091.39
  6. Step 6: Final answer
    x = 154,857.95

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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.