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Finding the Fourth Proportional to 172,821.38, 258,889.92 and 81,511.74

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Solution

The fourth proportional to 172,821.38, 258,889.92 and 81,511.74 is: 122,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,821.38 : 258,889.92 = 81,511.74 : x
  2. Step 2: Convert to fraction form
    172,821.38/258,889.92 = 81,511.74/x
  3. Step 3: Cross multiply
    172,821.38x = 258,889.92 × 81,511.74
  4. Step 4: Simplify right side
    172,821.38x = 21,102,568,000.50
  5. Step 5: Solve for x
    x = 21,102,568,000.50/172,821.38
  6. Step 6: Final answer
    x = 122,106.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.