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Finding the Fourth Proportional to 208,061.80, 311,655.30 and 173,069.80

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Solution

The fourth proportional to 208,061.80, 311,655.30 and 173,069.80 is: 259,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,061.80 : 311,655.30 = 173,069.80 : x
  2. Step 2: Convert to fraction form
    208,061.80/311,655.30 = 173,069.80/x
  3. Step 3: Cross multiply
    208,061.80x = 311,655.30 × 173,069.80
  4. Step 4: Simplify right side
    208,061.80x = 53,938,120,439.94
  5. Step 5: Solve for x
    x = 53,938,120,439.94/208,061.80
  6. Step 6: Final answer
    x = 259,240.86

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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.