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Finding the Fourth Proportional to 274,919.20, 412,141.12 and 123,000

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Solution

The fourth proportional to 274,919.20, 412,141.12 and 123,000 is: 184,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,919.20 : 412,141.12 = 123,000 : x
  2. Step 2: Convert to fraction form
    274,919.20/412,141.12 = 123,000/x
  3. Step 3: Cross multiply
    274,919.20x = 412,141.12 × 123,000
  4. Step 4: Simplify right side
    274,919.20x = 50,693,357,760
  5. Step 5: Solve for x
    x = 50,693,357,760/274,919.20
  6. Step 6: Final answer
    x = 184,393.66

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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.