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Finding the Fourth Proportional to 234,023.32, 322,951.74 and 126,593.44

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Solution

The fourth proportional to 234,023.32, 322,951.74 and 126,593.44 is: 174,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,023.32 : 322,951.74 = 126,593.44 : x
  2. Step 2: Convert to fraction form
    234,023.32/322,951.74 = 126,593.44/x
  3. Step 3: Cross multiply
    234,023.32x = 322,951.74 × 126,593.44
  4. Step 4: Simplify right side
    234,023.32x = 40,883,571,720.59
  5. Step 5: Solve for x
    x = 40,883,571,720.59/234,023.32
  6. Step 6: Final answer
    x = 174,698.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.