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Finding the Fourth Proportional to 207,786.44, 311,697.34 and 65,593.67

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Solution

The fourth proportional to 207,786.44, 311,697.34 and 65,593.67 is: 98,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,786.44 : 311,697.34 = 65,593.67 : x
  2. Step 2: Convert to fraction form
    207,786.44/311,697.34 = 65,593.67/x
  3. Step 3: Cross multiply
    207,786.44x = 311,697.34 × 65,593.67
  4. Step 4: Simplify right side
    207,786.44x = 20,445,373,075.10
  5. Step 5: Solve for x
    x = 20,445,373,075.10/207,786.44
  6. Step 6: Final answer
    x = 98,396.09

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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.