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Finding the Fourth Proportional to 140,556.29, 193,972.27 and 76,894.09

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Solution

The fourth proportional to 140,556.29, 193,972.27 and 76,894.09 is: 106,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,556.29 : 193,972.27 = 76,894.09 : x
  2. Step 2: Convert to fraction form
    140,556.29/193,972.27 = 76,894.09/x
  3. Step 3: Cross multiply
    140,556.29x = 193,972.27 × 76,894.09
  4. Step 4: Simplify right side
    140,556.29x = 14,915,321,186.88
  5. Step 5: Solve for x
    x = 14,915,321,186.88/140,556.29
  6. Step 6: Final answer
    x = 106,116.36

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