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Finding the Fourth Proportional to 227,714.40, 341,571.60 and 122,738.40

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Solution

The fourth proportional to 227,714.40, 341,571.60 and 122,738.40 is: 184,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,714.40 : 341,571.60 = 122,738.40 : x
  2. Step 2: Convert to fraction form
    227,714.40/341,571.60 = 122,738.40/x
  3. Step 3: Cross multiply
    227,714.40x = 341,571.60 × 122,738.40
  4. Step 4: Simplify right side
    227,714.40x = 41,923,951,669.44
  5. Step 5: Solve for x
    x = 41,923,951,669.44/227,714.40
  6. Step 6: Final answer
    x = 184,107.60

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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.