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Finding the Fourth Proportional to 100,161.82, 150,024.36 and 50,154.70

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Solution

The fourth proportional to 100,161.82, 150,024.36 and 50,154.70 is: 75,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,161.82 : 150,024.36 = 50,154.70 : x
  2. Step 2: Convert to fraction form
    100,161.82/150,024.36 = 50,154.70/x
  3. Step 3: Cross multiply
    100,161.82x = 150,024.36 × 50,154.70
  4. Step 4: Simplify right side
    100,161.82x = 7,524,426,768.49
  5. Step 5: Solve for x
    x = 7,524,426,768.49/100,161.82
  6. Step 6: Final answer
    x = 75,122.70

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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.