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Finding the Fourth Proportional to 208,940.40, 313,410.60 and 51,170.40

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Solution

The fourth proportional to 208,940.40, 313,410.60 and 51,170.40 is: 76,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,940.40 : 313,410.60 = 51,170.40 : x
  2. Step 2: Convert to fraction form
    208,940.40/313,410.60 = 51,170.40/x
  3. Step 3: Cross multiply
    208,940.40x = 313,410.60 × 51,170.40
  4. Step 4: Simplify right side
    208,940.40x = 16,037,345,766.24
  5. Step 5: Solve for x
    x = 16,037,345,766.24/208,940.40
  6. Step 6: Final answer
    x = 76,755.60

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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.