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Finding the Fourth Proportional to 122,900.80, 184,305.12 and 52,744

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Solution

The fourth proportional to 122,900.80, 184,305.12 and 52,744 is: 79,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,900.80 : 184,305.12 = 52,744 : x
  2. Step 2: Convert to fraction form
    122,900.80/184,305.12 = 52,744/x
  3. Step 3: Cross multiply
    122,900.80x = 184,305.12 × 52,744
  4. Step 4: Simplify right side
    122,900.80x = 9,720,989,249.28
  5. Step 5: Solve for x
    x = 9,720,989,249.28/122,900.80
  6. Step 6: Final answer
    x = 79,096.22

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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.