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Finding the Fourth Proportional to 188,694.75, 283,173.25 and 121,969.38

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Solution

The fourth proportional to 188,694.75, 283,173.25 and 121,969.38 is: 183,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,694.75 : 283,173.25 = 121,969.38 : x
  2. Step 2: Convert to fraction form
    188,694.75/283,173.25 = 121,969.38/x
  3. Step 3: Cross multiply
    188,694.75x = 283,173.25 × 121,969.38
  4. Step 4: Simplify right side
    188,694.75x = 34,538,465,735.09
  5. Step 5: Solve for x
    x = 34,538,465,735.09/188,694.75
  6. Step 6: Final answer
    x = 183,038.83

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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.