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Finding the Fourth Proportional to 123,022.56, 184,592.16 and 73,201.08

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Solution

The fourth proportional to 123,022.56, 184,592.16 and 73,201.08 is: 109,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,022.56 : 184,592.16 = 73,201.08 : x
  2. Step 2: Convert to fraction form
    123,022.56/184,592.16 = 73,201.08/x
  3. Step 3: Cross multiply
    123,022.56x = 184,592.16 × 73,201.08
  4. Step 4: Simplify right side
    123,022.56x = 13,512,345,471.53
  5. Step 5: Solve for x
    x = 13,512,345,471.53/123,022.56
  6. Step 6: Final answer
    x = 109,836.32

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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.