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Finding the Fourth Proportional to 139,410.54, 192,383.77 and 75,748.80

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Solution

The fourth proportional to 139,410.54, 192,383.77 and 75,748.80 is: 104,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,410.54 : 192,383.77 = 75,748.80 : x
  2. Step 2: Convert to fraction form
    139,410.54/192,383.77 = 75,748.80/x
  3. Step 3: Cross multiply
    139,410.54x = 192,383.77 × 75,748.80
  4. Step 4: Simplify right side
    139,410.54x = 14,572,839,716.98
  5. Step 5: Solve for x
    x = 14,572,839,716.98/139,410.54
  6. Step 6: Final answer
    x = 104,531.84

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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.