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Finding the Fourth Proportional to 140,418.77, 193,879.38 and 86,777.33

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Solution

The fourth proportional to 140,418.77, 193,879.38 and 86,777.33 is: 119,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,418.77 : 193,879.38 = 86,777.33 : x
  2. Step 2: Convert to fraction form
    140,418.77/193,879.38 = 86,777.33/x
  3. Step 3: Cross multiply
    140,418.77x = 193,879.38 × 86,777.33
  4. Step 4: Simplify right side
    140,418.77x = 16,824,333,969.06
  5. Step 5: Solve for x
    x = 16,824,333,969.06/140,418.77
  6. Step 6: Final answer
    x = 119,815.42

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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.