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Finding the Fourth Proportional to 266,472.40, 399,662.52 and 100,261.84

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Solution

The fourth proportional to 266,472.40, 399,662.52 and 100,261.84 is: 150,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,472.40 : 399,662.52 = 100,261.84 : x
  2. Step 2: Convert to fraction form
    266,472.40/399,662.52 = 100,261.84/x
  3. Step 3: Cross multiply
    266,472.40x = 399,662.52 × 100,261.84
  4. Step 4: Simplify right side
    266,472.40x = 40,070,899,634.24
  5. Step 5: Solve for x
    x = 40,070,899,634.24/266,472.40
  6. Step 6: Final answer
    x = 150,375.42

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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.