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Finding the Fourth Proportional to 355,910.99, 491,157.20 and 194,766.03

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Solution

The fourth proportional to 355,910.99, 491,157.20 and 194,766.03 is: 268,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,910.99 : 491,157.20 = 194,766.03 : x
  2. Step 2: Convert to fraction form
    355,910.99/491,157.20 = 194,766.03/x
  3. Step 3: Cross multiply
    355,910.99x = 491,157.20 × 194,766.03
  4. Step 4: Simplify right side
    355,910.99x = 95,660,737,949.92
  5. Step 5: Solve for x
    x = 95,660,737,949.92/355,910.99
  6. Step 6: Final answer
    x = 268,777.14

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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.