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Finding the Fourth Proportional to 208,047.80, 311,634.30 and 173,055.80

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Solution

The fourth proportional to 208,047.80, 311,634.30 and 173,055.80 is: 259,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047.80 : 311,634.30 = 173,055.80 : x
  2. Step 2: Convert to fraction form
    208,047.80/311,634.30 = 173,055.80/x
  3. Step 3: Cross multiply
    208,047.80x = 311,634.30 × 173,055.80
  4. Step 4: Simplify right side
    208,047.80x = 53,930,123,093.94
  5. Step 5: Solve for x
    x = 53,930,123,093.94/208,047.80
  6. Step 6: Final answer
    x = 259,219.87

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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.