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Finding the Fourth Proportional to 208,069.80, 311,576.70 and 114,469.80

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Solution

The fourth proportional to 208,069.80, 311,576.70 and 114,469.80 is: 171,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,069.80 : 311,576.70 = 114,469.80 : x
  2. Step 2: Convert to fraction form
    208,069.80/311,576.70 = 114,469.80/x
  3. Step 3: Cross multiply
    208,069.80x = 311,576.70 × 114,469.80
  4. Step 4: Simplify right side
    208,069.80x = 35,666,122,533.66
  5. Step 5: Solve for x
    x = 35,666,122,533.66/208,069.80
  6. Step 6: Final answer
    x = 171,414.22

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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.