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Finding the Fourth Proportional to 197,069.99, 271,962.03 and 120,587.71

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Solution

The fourth proportional to 197,069.99, 271,962.03 and 120,587.71 is: 166,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,069.99 : 271,962.03 = 120,587.71 : x
  2. Step 2: Convert to fraction form
    197,069.99/271,962.03 = 120,587.71/x
  3. Step 3: Cross multiply
    197,069.99x = 271,962.03 × 120,587.71
  4. Step 4: Simplify right side
    197,069.99x = 32,795,279,112.62
  5. Step 5: Solve for x
    x = 32,795,279,112.62/197,069.99
  6. Step 6: Final answer
    x = 166,414.38

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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.