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Finding the Fourth Proportional to 234,858.44, 324,100.56 and 142,944.50

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Solution

The fourth proportional to 234,858.44, 324,100.56 and 142,944.50 is: 197,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,858.44 : 324,100.56 = 142,944.50 : x
  2. Step 2: Convert to fraction form
    234,858.44/324,100.56 = 142,944.50/x
  3. Step 3: Cross multiply
    234,858.44x = 324,100.56 × 142,944.50
  4. Step 4: Simplify right side
    234,858.44x = 46,328,392,498.92
  5. Step 5: Solve for x
    x = 46,328,392,498.92/234,858.44
  6. Step 6: Final answer
    x = 197,260.92

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Why These Related Problems?

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