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Finding the Fourth Proportional to 215,791.80, 297,793.06 and 120,296.44

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Solution

The fourth proportional to 215,791.80, 297,793.06 and 120,296.44 is: 166,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,791.80 : 297,793.06 = 120,296.44 : x
  2. Step 2: Convert to fraction form
    215,791.80/297,793.06 = 120,296.44/x
  3. Step 3: Cross multiply
    215,791.80x = 297,793.06 × 120,296.44
  4. Step 4: Simplify right side
    215,791.80x = 35,823,445,046.21
  5. Step 5: Solve for x
    x = 35,823,445,046.21/215,791.80
  6. Step 6: Final answer
    x = 166,009.30

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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.