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Finding the Fourth Proportional to 254,270.94, 381,464.01 and 135,879.90

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Solution

The fourth proportional to 254,270.94, 381,464.01 and 135,879.90 is: 203,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,270.94 : 381,464.01 = 135,879.90 : x
  2. Step 2: Convert to fraction form
    254,270.94/381,464.01 = 135,879.90/x
  3. Step 3: Cross multiply
    254,270.94x = 381,464.01 × 135,879.90
  4. Step 4: Simplify right side
    254,270.94x = 51,833,291,532.40
  5. Step 5: Solve for x
    x = 51,833,291,532.40/254,270.94
  6. Step 6: Final answer
    x = 203,850.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.