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Finding the Fourth Proportional to 378,093.54, 567,402.24 and 150,365.82

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Solution

The fourth proportional to 378,093.54, 567,402.24 and 150,365.82 is: 225,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,093.54 : 567,402.24 = 150,365.82 : x
  2. Step 2: Convert to fraction form
    378,093.54/567,402.24 = 150,365.82/x
  3. Step 3: Cross multiply
    378,093.54x = 567,402.24 × 150,365.82
  4. Step 4: Simplify right side
    378,093.54x = 85,317,903,087.44
  5. Step 5: Solve for x
    x = 85,317,903,087.44/378,093.54
  6. Step 6: Final answer
    x = 225,652.90

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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.