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Finding the Fourth Proportional to 188,076.36, 281,930.58 and 68,097

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Solution

The fourth proportional to 188,076.36, 281,930.58 and 68,097 is: 102,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,076.36 : 281,930.58 = 68,097 : x
  2. Step 2: Convert to fraction form
    188,076.36/281,930.58 = 68,097/x
  3. Step 3: Cross multiply
    188,076.36x = 281,930.58 × 68,097
  4. Step 4: Simplify right side
    188,076.36x = 19,198,626,706.26
  5. Step 5: Solve for x
    x = 19,198,626,706.26/188,076.36
  6. Step 6: Final answer
    x = 102,078.89

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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.