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Finding the Fourth Proportional to 122,767.52, 184,190.20 and 43,880

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Solution

The fourth proportional to 122,767.52, 184,190.20 and 43,880 is: 65,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,767.52 : 184,190.20 = 43,880 : x
  2. Step 2: Convert to fraction form
    122,767.52/184,190.20 = 43,880/x
  3. Step 3: Cross multiply
    122,767.52x = 184,190.20 × 43,880
  4. Step 4: Simplify right side
    122,767.52x = 8,082,265,976.00
  5. Step 5: Solve for x
    x = 8,082,265,976.00/122,767.52
  6. Step 6: Final answer
    x = 65,833.91

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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.