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Finding the Fourth Proportional to 281,694.06, 422,556.50 and 71,333.82

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Solution

The fourth proportional to 281,694.06, 422,556.50 and 71,333.82 is: 107,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,694.06 : 422,556.50 = 71,333.82 : x
  2. Step 2: Convert to fraction form
    281,694.06/422,556.50 = 71,333.82/x
  3. Step 3: Cross multiply
    281,694.06x = 422,556.50 × 71,333.82
  4. Step 4: Simplify right side
    281,694.06x = 30,142,568,954.16
  5. Step 5: Solve for x
    x = 30,142,568,954.16/281,694.06
  6. Step 6: Final answer
    x = 107,004.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.