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Finding the Fourth Proportional to 266,451, 399,961.04 and 114,723.17

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Solution

The fourth proportional to 266,451, 399,961.04 and 114,723.17 is: 172,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,451 : 399,961.04 = 114,723.17 : x
  2. Step 2: Convert to fraction form
    266,451/399,961.04 = 114,723.17/x
  3. Step 3: Cross multiply
    266,451x = 399,961.04 × 114,723.17
  4. Step 4: Simplify right side
    266,451x = 45,884,795,811.88
  5. Step 5: Solve for x
    x = 45,884,795,811.88/266,451
  6. Step 6: Final answer
    x = 172,207.26

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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.