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Finding the Fourth Proportional to 172,866, 259,299 and 41,538

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Solution

The fourth proportional to 172,866, 259,299 and 41,538 is: 62,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,866 : 259,299 = 41,538 : x
  2. Step 2: Convert to fraction form
    172,866/259,299 = 41,538/x
  3. Step 3: Cross multiply
    172,866x = 259,299 × 41,538
  4. Step 4: Simplify right side
    172,866x = 10,770,761,862
  5. Step 5: Solve for x
    x = 10,770,761,862/172,866
  6. Step 6: Final answer
    x = 62,307

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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.