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Finding the Fourth Proportional to 275,770.92, 413,745.48 and 135,431.10

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Solution

The fourth proportional to 275,770.92, 413,745.48 and 135,431.10 is: 203,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,770.92 : 413,745.48 = 135,431.10 : x
  2. Step 2: Convert to fraction form
    275,770.92/413,745.48 = 135,431.10/x
  3. Step 3: Cross multiply
    275,770.92x = 413,745.48 × 135,431.10
  4. Step 4: Simplify right side
    275,770.92x = 56,034,005,476.43
  5. Step 5: Solve for x
    x = 56,034,005,476.43/275,770.92
  6. Step 6: Final answer
    x = 203,190.41

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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.