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Finding the Fourth Proportional to 208,197.70, 312,249.81 and 95,769.94

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Solution

The fourth proportional to 208,197.70, 312,249.81 and 95,769.94 is: 143,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,197.70 : 312,249.81 = 95,769.94 : x
  2. Step 2: Convert to fraction form
    208,197.70/312,249.81 = 95,769.94/x
  3. Step 3: Cross multiply
    208,197.70x = 312,249.81 × 95,769.94
  4. Step 4: Simplify right side
    208,197.70x = 29,904,145,568.71
  5. Step 5: Solve for x
    x = 29,904,145,568.71/208,197.70
  6. Step 6: Final answer
    x = 143,633.41

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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.