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Finding the Fourth Proportional to 189,025.88, 283,591.36 and 82,419.16

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Solution

The fourth proportional to 189,025.88, 283,591.36 and 82,419.16 is: 123,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,025.88 : 283,591.36 = 82,419.16 : x
  2. Step 2: Convert to fraction form
    189,025.88/283,591.36 = 82,419.16/x
  3. Step 3: Cross multiply
    189,025.88x = 283,591.36 × 82,419.16
  4. Step 4: Simplify right side
    189,025.88x = 23,373,361,674.46
  5. Step 5: Solve for x
    x = 23,373,361,674.46/189,025.88
  6. Step 6: Final answer
    x = 123,651.65

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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.