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Finding the Fourth Proportional to 266,149, 399,227.82 and 76,611.88

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Solution

The fourth proportional to 266,149, 399,227.82 and 76,611.88 is: 114,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,149 : 399,227.82 = 76,611.88 : x
  2. Step 2: Convert to fraction form
    266,149/399,227.82 = 76,611.88/x
  3. Step 3: Cross multiply
    266,149x = 399,227.82 × 76,611.88
  4. Step 4: Simplify right side
    266,149x = 30,585,593,838.50
  5. Step 5: Solve for x
    x = 30,585,593,838.50/266,149
  6. Step 6: Final answer
    x = 114,919.06

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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.