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Finding the Fourth Proportional to 106,138.76, 159,182.62 and 31,238.56

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Solution

The fourth proportional to 106,138.76, 159,182.62 and 31,238.56 is: 46,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,138.76 : 159,182.62 = 31,238.56 : x
  2. Step 2: Convert to fraction form
    106,138.76/159,182.62 = 31,238.56/x
  3. Step 3: Cross multiply
    106,138.76x = 159,182.62 × 31,238.56
  4. Step 4: Simplify right side
    106,138.76x = 4,972,635,946.71
  5. Step 5: Solve for x
    x = 4,972,635,946.71/106,138.76
  6. Step 6: Final answer
    x = 46,850.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.