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Finding the Fourth Proportional to 139,729, 192,825.70 and 76,067.24

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Solution

The fourth proportional to 139,729, 192,825.70 and 76,067.24 is: 104,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,729 : 192,825.70 = 76,067.24 : x
  2. Step 2: Convert to fraction form
    139,729/192,825.70 = 76,067.24/x
  3. Step 3: Cross multiply
    139,729x = 192,825.70 × 76,067.24
  4. Step 4: Simplify right side
    139,729x = 14,667,718,800.07
  5. Step 5: Solve for x
    x = 14,667,718,800.07/139,729
  6. Step 6: Final answer
    x = 104,972.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.