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Finding the Fourth Proportional to 266,416, 399,614.80 and 66,738.12

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Solution

The fourth proportional to 266,416, 399,614.80 and 66,738.12 is: 100,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,416 : 399,614.80 = 66,738.12 : x
  2. Step 2: Convert to fraction form
    266,416/399,614.80 = 66,738.12/x
  3. Step 3: Cross multiply
    266,416x = 399,614.80 × 66,738.12
  4. Step 4: Simplify right side
    266,416x = 26,669,540,476.18
  5. Step 5: Solve for x
    x = 26,669,540,476.18/266,416
  6. Step 6: Final answer
    x = 100,104.88

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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.