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Finding the Fourth Proportional to 207,729.72, 311,469.89 and 95,269.05

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Solution

The fourth proportional to 207,729.72, 311,469.89 and 95,269.05 is: 142,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,729.72 : 311,469.89 = 95,269.05 : x
  2. Step 2: Convert to fraction form
    207,729.72/311,469.89 = 95,269.05/x
  3. Step 3: Cross multiply
    207,729.72x = 311,469.89 × 95,269.05
  4. Step 4: Simplify right side
    207,729.72x = 29,673,440,047.56
  5. Step 5: Solve for x
    x = 29,673,440,047.56/207,729.72
  6. Step 6: Final answer
    x = 142,846.39

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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.