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Finding the Fourth Proportional to 378,058.24, 567,198.24 and 111,825.76

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Solution

The fourth proportional to 378,058.24, 567,198.24 and 111,825.76 is: 167,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,058.24 : 567,198.24 = 111,825.76 : x
  2. Step 2: Convert to fraction form
    378,058.24/567,198.24 = 111,825.76/x
  3. Step 3: Cross multiply
    378,058.24x = 567,198.24 × 111,825.76
  4. Step 4: Simplify right side
    378,058.24x = 63,427,374,258.66
  5. Step 5: Solve for x
    x = 63,427,374,258.66/378,058.24
  6. Step 6: Final answer
    x = 167,771.44

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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.