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Finding the Fourth Proportional to 271,768.09, 375,027.44 and 150,917.10

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Solution

The fourth proportional to 271,768.09, 375,027.44 and 150,917.10 is: 208,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,768.09 : 375,027.44 = 150,917.10 : x
  2. Step 2: Convert to fraction form
    271,768.09/375,027.44 = 150,917.10/x
  3. Step 3: Cross multiply
    271,768.09x = 375,027.44 × 150,917.10
  4. Step 4: Simplify right side
    271,768.09x = 56,598,052,910.64
  5. Step 5: Solve for x
    x = 56,598,052,910.64/271,768.09
  6. Step 6: Final answer
    x = 208,258.64

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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.