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Finding the Fourth Proportional to 266,130.20, 399,195.30 and 171,651.80

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Solution

The fourth proportional to 266,130.20, 399,195.30 and 171,651.80 is: 257,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,130.20 : 399,195.30 = 171,651.80 : x
  2. Step 2: Convert to fraction form
    266,130.20/399,195.30 = 171,651.80/x
  3. Step 3: Cross multiply
    266,130.20x = 399,195.30 × 171,651.80
  4. Step 4: Simplify right side
    266,130.20x = 68,522,591,796.54
  5. Step 5: Solve for x
    x = 68,522,591,796.54/266,130.20
  6. Step 6: Final answer
    x = 257,477.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.