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Finding the Fourth Proportional to 208,097.80, 311,709.30 and 173,105.80

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Solution

The fourth proportional to 208,097.80, 311,709.30 and 173,105.80 is: 259,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,097.80 : 311,709.30 = 173,105.80 : x
  2. Step 2: Convert to fraction form
    208,097.80/311,709.30 = 173,105.80/x
  3. Step 3: Cross multiply
    208,097.80x = 311,709.30 × 173,105.80
  4. Step 4: Simplify right side
    208,097.80x = 53,958,687,743.94
  5. Step 5: Solve for x
    x = 53,958,687,743.94/208,097.80
  6. Step 6: Final answer
    x = 259,294.85

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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.