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Finding the Fourth Proportional to 86,198.68, 129,297.78 and 23,869

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Solution

The fourth proportional to 86,198.68, 129,297.78 and 23,869 is: 35,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,198.68 : 129,297.78 = 23,869 : x
  2. Step 2: Convert to fraction form
    86,198.68/129,297.78 = 23,869/x
  3. Step 3: Cross multiply
    86,198.68x = 129,297.78 × 23,869
  4. Step 4: Simplify right side
    86,198.68x = 3,086,208,710.82
  5. Step 5: Solve for x
    x = 3,086,208,710.82/86,198.68
  6. Step 6: Final answer
    x = 35,803.43

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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.