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Finding the Fourth Proportional to 150,745.70, 226,123.63 and 75,825

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Solution

The fourth proportional to 150,745.70, 226,123.63 and 75,825 is: 113,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,745.70 : 226,123.63 = 75,825 : x
  2. Step 2: Convert to fraction form
    150,745.70/226,123.63 = 75,825/x
  3. Step 3: Cross multiply
    150,745.70x = 226,123.63 × 75,825
  4. Step 4: Simplify right side
    150,745.70x = 17,145,824,244.75
  5. Step 5: Solve for x
    x = 17,145,824,244.75/150,745.70
  6. Step 6: Final answer
    x = 113,740.06

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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.