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Finding the Fourth Proportional to 100,227.21, 150,232.14 and 50,186.67

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Solution

The fourth proportional to 100,227.21, 150,232.14 and 50,186.67 is: 75,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,227.21 : 150,232.14 = 50,186.67 : x
  2. Step 2: Convert to fraction form
    100,227.21/150,232.14 = 50,186.67/x
  3. Step 3: Cross multiply
    100,227.21x = 150,232.14 × 50,186.67
  4. Step 4: Simplify right side
    100,227.21x = 7,539,650,833.57
  5. Step 5: Solve for x
    x = 7,539,650,833.57/100,227.21
  6. Step 6: Final answer
    x = 75,225.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.