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Finding the Fourth Proportional to 313,331.85, 470,074.11 and 100,099.56

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Solution

The fourth proportional to 313,331.85, 470,074.11 and 100,099.56 is: 150,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,331.85 : 470,074.11 = 100,099.56 : x
  2. Step 2: Convert to fraction form
    313,331.85/470,074.11 = 100,099.56/x
  3. Step 3: Cross multiply
    313,331.85x = 470,074.11 × 100,099.56
  4. Step 4: Simplify right side
    313,331.85x = 47,054,211,578.39
  5. Step 5: Solve for x
    x = 47,054,211,578.39/313,331.85
  6. Step 6: Final answer
    x = 150,173.73

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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.