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Finding the Fourth Proportional to 204,201.60, 305,749.44 and 105,498.24

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Solution

The fourth proportional to 204,201.60, 305,749.44 and 105,498.24 is: 157,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,201.60 : 305,749.44 = 105,498.24 : x
  2. Step 2: Convert to fraction form
    204,201.60/305,749.44 = 105,498.24/x
  3. Step 3: Cross multiply
    204,201.60x = 305,749.44 × 105,498.24
  4. Step 4: Simplify right side
    204,201.60x = 32,256,027,800.99
  5. Step 5: Solve for x
    x = 32,256,027,800.99/204,201.60
  6. Step 6: Final answer
    x = 157,961.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.