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Finding the Fourth Proportional to 139,309.56, 192,245.51 and 75,647.81

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Solution

The fourth proportional to 139,309.56, 192,245.51 and 75,647.81 is: 104,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,309.56 : 192,245.51 = 75,647.81 : x
  2. Step 2: Convert to fraction form
    139,309.56/192,245.51 = 75,647.81/x
  3. Step 3: Cross multiply
    139,309.56x = 192,245.51 × 75,647.81
  4. Step 4: Simplify right side
    139,309.56x = 14,542,951,813.83
  5. Step 5: Solve for x
    x = 14,542,951,813.83/139,309.56
  6. Step 6: Final answer
    x = 104,393.06

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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.