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Finding the Fourth Proportional to 275,137.94, 412,351.63 and 123,224.02

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Solution

The fourth proportional to 275,137.94, 412,351.63 and 123,224.02 is: 184,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,137.94 : 412,351.63 = 123,224.02 : x
  2. Step 2: Convert to fraction form
    275,137.94/412,351.63 = 123,224.02/x
  3. Step 3: Cross multiply
    275,137.94x = 412,351.63 × 123,224.02
  4. Step 4: Simplify right side
    275,137.94x = 50,811,625,502.15
  5. Step 5: Solve for x
    x = 50,811,625,502.15/275,137.94
  6. Step 6: Final answer
    x = 184,676.91

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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.