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Finding the Fourth Proportional to 281,625.73, 422,083.77 and 201,245.02

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Solution

The fourth proportional to 281,625.73, 422,083.77 and 201,245.02 is: 301,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,625.73 : 422,083.77 = 201,245.02 : x
  2. Step 2: Convert to fraction form
    281,625.73/422,083.77 = 201,245.02/x
  3. Step 3: Cross multiply
    281,625.73x = 422,083.77 × 201,245.02
  4. Step 4: Simplify right side
    281,625.73x = 84,942,256,735.33
  5. Step 5: Solve for x
    x = 84,942,256,735.33/281,625.73
  6. Step 6: Final answer
    x = 301,613.98

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Why These Related Problems?

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