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Finding the Fourth Proportional to 189,227.64, 283,815.54 and 110,379

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Solution

The fourth proportional to 189,227.64, 283,815.54 and 110,379 is: 165,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,227.64 : 283,815.54 = 110,379 : x
  2. Step 2: Convert to fraction form
    189,227.64/283,815.54 = 110,379/x
  3. Step 3: Cross multiply
    189,227.64x = 283,815.54 × 110,379
  4. Step 4: Simplify right side
    189,227.64x = 31,327,275,489.66
  5. Step 5: Solve for x
    x = 31,327,275,489.66/189,227.64
  6. Step 6: Final answer
    x = 165,553.38

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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.