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Finding the Fourth Proportional to 172,562.20, 258,843.12 and 54,243.88

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Solution

The fourth proportional to 172,562.20, 258,843.12 and 54,243.88 is: 81,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,562.20 : 258,843.12 = 54,243.88 : x
  2. Step 2: Convert to fraction form
    172,562.20/258,843.12 = 54,243.88/x
  3. Step 3: Cross multiply
    172,562.20x = 258,843.12 × 54,243.88
  4. Step 4: Simplify right side
    172,562.20x = 14,040,655,140.11
  5. Step 5: Solve for x
    x = 14,040,655,140.11/172,562.20
  6. Step 6: Final answer
    x = 81,365.76

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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.