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Finding the Fourth Proportional to 124,238.25, 186,357.38 and 30,744

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Solution

The fourth proportional to 124,238.25, 186,357.38 and 30,744 is: 46,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,238.25 : 186,357.38 = 30,744 : x
  2. Step 2: Convert to fraction form
    124,238.25/186,357.38 = 30,744/x
  3. Step 3: Cross multiply
    124,238.25x = 186,357.38 × 30,744
  4. Step 4: Simplify right side
    124,238.25x = 5,729,371,137
  5. Step 5: Solve for x
    x = 5,729,371,137/124,238.25
  6. Step 6: Final answer
    x = 46,116

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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.