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Finding the Fourth Proportional to 165,052.50, 227,775.22 and 89,601

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Solution

The fourth proportional to 165,052.50, 227,775.22 and 89,601 is: 123,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,052.50 : 227,775.22 = 89,601 : x
  2. Step 2: Convert to fraction form
    165,052.50/227,775.22 = 89,601/x
  3. Step 3: Cross multiply
    165,052.50x = 227,775.22 × 89,601
  4. Step 4: Simplify right side
    165,052.50x = 20,408,887,487.22
  5. Step 5: Solve for x
    x = 20,408,887,487.22/165,052.50
  6. Step 6: Final answer
    x = 123,650.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.