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Finding the Fourth Proportional to 189,902.68, 284,452.16 and 123,144.50

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Solution

The fourth proportional to 189,902.68, 284,452.16 and 123,144.50 is: 184,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,902.68 : 284,452.16 = 123,144.50 : x
  2. Step 2: Convert to fraction form
    189,902.68/284,452.16 = 123,144.50/x
  3. Step 3: Cross multiply
    189,902.68x = 284,452.16 × 123,144.50
  4. Step 4: Simplify right side
    189,902.68x = 35,028,719,112.53
  5. Step 5: Solve for x
    x = 35,028,719,112.53/189,902.68
  6. Step 6: Final answer
    x = 184,456.16

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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.