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Finding the Fourth Proportional to 188,693.75, 283,171.75 and 121,968.38

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Solution

The fourth proportional to 188,693.75, 283,171.75 and 121,968.38 is: 183,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,693.75 : 283,171.75 = 121,968.38 : x
  2. Step 2: Convert to fraction form
    188,693.75/283,171.75 = 121,968.38/x
  3. Step 3: Cross multiply
    188,693.75x = 283,171.75 × 121,968.38
  4. Step 4: Simplify right side
    188,693.75x = 34,538,000,012.27
  5. Step 5: Solve for x
    x = 34,538,000,012.27/188,693.75
  6. Step 6: Final answer
    x = 183,037.33

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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.