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Finding the Fourth Proportional to 150,729.64, 225,936.44 and 50,855.42

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Solution

The fourth proportional to 150,729.64, 225,936.44 and 50,855.42 is: 76,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,729.64 : 225,936.44 = 50,855.42 : x
  2. Step 2: Convert to fraction form
    150,729.64/225,936.44 = 50,855.42/x
  3. Step 3: Cross multiply
    150,729.64x = 225,936.44 × 50,855.42
  4. Step 4: Simplify right side
    150,729.64x = 11,490,092,549.50
  5. Step 5: Solve for x
    x = 11,490,092,549.50/150,729.64
  6. Step 6: Final answer
    x = 76,229.81

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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.