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Finding the Fourth Proportional to 111,103.50, 166,655.25 and 27,997.50

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Solution

The fourth proportional to 111,103.50, 166,655.25 and 27,997.50 is: 41,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,103.50 : 166,655.25 = 27,997.50 : x
  2. Step 2: Convert to fraction form
    111,103.50/166,655.25 = 27,997.50/x
  3. Step 3: Cross multiply
    111,103.50x = 166,655.25 × 27,997.50
  4. Step 4: Simplify right side
    111,103.50x = 4,665,930,361.88
  5. Step 5: Solve for x
    x = 4,665,930,361.88/111,103.50
  6. Step 6: Final answer
    x = 41,996.25

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1.5x scale

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.