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Finding the Fourth Proportional to 189,114.17, 283,713.31 and 82,515.41

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Solution

The fourth proportional to 189,114.17, 283,713.31 and 82,515.41 is: 123,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,114.17 : 283,713.31 = 82,515.41 : x
  2. Step 2: Convert to fraction form
    189,114.17/283,713.31 = 82,515.41/x
  3. Step 3: Cross multiply
    189,114.17x = 283,713.31 × 82,515.41
  4. Step 4: Simplify right side
    189,114.17x = 23,410,718,678.54
  5. Step 5: Solve for x
    x = 23,410,718,678.54/189,114.17
  6. Step 6: Final answer
    x = 123,791.46

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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.