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Finding the Fourth Proportional to 139,402.38, 192,378.12 and 75,744.27

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Solution

The fourth proportional to 139,402.38, 192,378.12 and 75,744.27 is: 104,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,402.38 : 192,378.12 = 75,744.27 : x
  2. Step 2: Convert to fraction form
    139,402.38/192,378.12 = 75,744.27/x
  3. Step 3: Cross multiply
    139,402.38x = 192,378.12 × 75,744.27
  4. Step 4: Simplify right side
    139,402.38x = 14,571,540,263.37
  5. Step 5: Solve for x
    x = 14,571,540,263.37/139,402.38
  6. Step 6: Final answer
    x = 104,528.63

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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.