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Finding the Fourth Proportional to 300,892.98, 415,239.84 and 164,932.86

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Solution

The fourth proportional to 300,892.98, 415,239.84 and 164,932.86 is: 227,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,892.98 : 415,239.84 = 164,932.86 : x
  2. Step 2: Convert to fraction form
    300,892.98/415,239.84 = 164,932.86/x
  3. Step 3: Cross multiply
    300,892.98x = 415,239.84 × 164,932.86
  4. Step 4: Simplify right side
    300,892.98x = 68,486,694,397.14
  5. Step 5: Solve for x
    x = 68,486,694,397.14/300,892.98
  6. Step 6: Final answer
    x = 227,611.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.