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Finding the Fourth Proportional to 208,843.98, 287,986.77 and 123,944.64

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Solution

The fourth proportional to 208,843.98, 287,986.77 and 123,944.64 is: 170,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,843.98 : 287,986.77 = 123,944.64 : x
  2. Step 2: Convert to fraction form
    208,843.98/287,986.77 = 123,944.64/x
  3. Step 3: Cross multiply
    208,843.98x = 287,986.77 × 123,944.64
  4. Step 4: Simplify right side
    208,843.98x = 35,694,416,532.41
  5. Step 5: Solve for x
    x = 35,694,416,532.41/208,843.98
  6. Step 6: Final answer
    x = 170,914.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.