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Finding the Fourth Proportional to 172,234.56, 258,212.43 and 53,844.96

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Solution

The fourth proportional to 172,234.56, 258,212.43 and 53,844.96 is: 80,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,234.56 : 258,212.43 = 53,844.96 : x
  2. Step 2: Convert to fraction form
    172,234.56/258,212.43 = 53,844.96/x
  3. Step 3: Cross multiply
    172,234.56x = 258,212.43 × 53,844.96
  4. Step 4: Simplify right side
    172,234.56x = 13,903,437,964.85
  5. Step 5: Solve for x
    x = 13,903,437,964.85/172,234.56
  6. Step 6: Final answer
    x = 80,723.86

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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.