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Finding the Fourth Proportional to 189,081.72, 283,675.20 and 82,475

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Solution

The fourth proportional to 189,081.72, 283,675.20 and 82,475 is: 123,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,081.72 : 283,675.20 = 82,475 : x
  2. Step 2: Convert to fraction form
    189,081.72/283,675.20 = 82,475/x
  3. Step 3: Cross multiply
    189,081.72x = 283,675.20 × 82,475
  4. Step 4: Simplify right side
    189,081.72x = 23,396,112,120
  5. Step 5: Solve for x
    x = 23,396,112,120/189,081.72
  6. Step 6: Final answer
    x = 123,735.45

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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.