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Finding the Fourth Proportional to 139,642.92, 192,699 and 78,383.34

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Solution

The fourth proportional to 139,642.92, 192,699 and 78,383.34 is: 108,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,642.92 : 192,699 = 78,383.34 : x
  2. Step 2: Convert to fraction form
    139,642.92/192,699 = 78,383.34/x
  3. Step 3: Cross multiply
    139,642.92x = 192,699 × 78,383.34
  4. Step 4: Simplify right side
    139,642.92x = 15,104,391,234.66
  5. Step 5: Solve for x
    x = 15,104,391,234.66/139,642.92
  6. Step 6: Final answer
    x = 108,164.39

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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.