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Finding the Fourth Proportional to 266,119.20, 399,178.80 and 171,640.80

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Solution

The fourth proportional to 266,119.20, 399,178.80 and 171,640.80 is: 257,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,119.20 : 399,178.80 = 171,640.80 : x
  2. Step 2: Convert to fraction form
    266,119.20/399,178.80 = 171,640.80/x
  3. Step 3: Cross multiply
    266,119.20x = 399,178.80 × 171,640.80
  4. Step 4: Simplify right side
    266,119.20x = 68,515,368,575.04
  5. Step 5: Solve for x
    x = 68,515,368,575.04/266,119.20
  6. Step 6: Final answer
    x = 257,461.20

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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.