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Finding the Fourth Proportional to 215,791.83, 297,793.06 and 120,296.48

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Solution

The fourth proportional to 215,791.83, 297,793.06 and 120,296.48 is: 166,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,791.83 : 297,793.06 = 120,296.48 : x
  2. Step 2: Convert to fraction form
    215,791.83/297,793.06 = 120,296.48/x
  3. Step 3: Cross multiply
    215,791.83x = 297,793.06 × 120,296.48
  4. Step 4: Simplify right side
    215,791.83x = 35,823,455,096.72
  5. Step 5: Solve for x
    x = 35,823,455,096.72/215,791.83
  6. Step 6: Final answer
    x = 166,009.32

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1.5x scale

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.