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Finding the Fourth Proportional to 197,073.01, 271,874.37 and 120,595.78

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Solution

The fourth proportional to 197,073.01, 271,874.37 and 120,595.78 is: 166,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,073.01 : 271,874.37 = 120,595.78 : x
  2. Step 2: Convert to fraction form
    197,073.01/271,874.37 = 120,595.78/x
  3. Step 3: Cross multiply
    197,073.01x = 271,874.37 × 120,595.78
  4. Step 4: Simplify right side
    197,073.01x = 32,786,901,712.16
  5. Step 5: Solve for x
    x = 32,786,901,712.16/197,073.01
  6. Step 6: Final answer
    x = 166,369.32

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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.