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Finding the Fourth Proportional to 281,605.48, 422,409.90 and 71,243.32

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Solution

The fourth proportional to 281,605.48, 422,409.90 and 71,243.32 is: 106,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,605.48 : 422,409.90 = 71,243.32 : x
  2. Step 2: Convert to fraction form
    281,605.48/422,409.90 = 71,243.32/x
  3. Step 3: Cross multiply
    281,605.48x = 422,409.90 × 71,243.32
  4. Step 4: Simplify right side
    281,605.48x = 30,093,883,676.87
  5. Step 5: Solve for x
    x = 30,093,883,676.87/281,605.48
  6. Step 6: Final answer
    x = 106,865.41

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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.