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Finding the Fourth Proportional to 150,861, 226,489.26 and 101,163.48

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Solution

The fourth proportional to 150,861, 226,489.26 and 101,163.48 is: 151,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,861 : 226,489.26 = 101,163.48 : x
  2. Step 2: Convert to fraction form
    150,861/226,489.26 = 101,163.48/x
  3. Step 3: Cross multiply
    150,861x = 226,489.26 × 101,163.48
  4. Step 4: Simplify right side
    150,861x = 22,912,441,724.22
  5. Step 5: Solve for x
    x = 22,912,441,724.22/150,861
  6. Step 6: Final answer
    x = 151,877.83

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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.