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Finding the Fourth Proportional to 208,846.40, 313,269.60 and 68,619.20

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Solution

The fourth proportional to 208,846.40, 313,269.60 and 68,619.20 is: 102,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,846.40 : 313,269.60 = 68,619.20 : x
  2. Step 2: Convert to fraction form
    208,846.40/313,269.60 = 68,619.20/x
  3. Step 3: Cross multiply
    208,846.40x = 313,269.60 × 68,619.20
  4. Step 4: Simplify right side
    208,846.40x = 21,496,309,336.32
  5. Step 5: Solve for x
    x = 21,496,309,336.32/208,846.40
  6. Step 6: Final answer
    x = 102,928.80

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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.