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Finding the Fourth Proportional to 82,183.64, 123,314.50 and 56,922.03

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Solution

The fourth proportional to 82,183.64, 123,314.50 and 56,922.03 is: 85,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,183.64 : 123,314.50 = 56,922.03 : x
  2. Step 2: Convert to fraction form
    82,183.64/123,314.50 = 56,922.03/x
  3. Step 3: Cross multiply
    82,183.64x = 123,314.50 × 56,922.03
  4. Step 4: Simplify right side
    82,183.64x = 7,019,311,566.18
  5. Step 5: Solve for x
    x = 7,019,311,566.18/82,183.64
  6. Step 6: Final answer
    x = 85,410.09

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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.