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Finding the Fourth Proportional to 172,111.68, 258,163.68 and 47,453.76

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Solution

The fourth proportional to 172,111.68, 258,163.68 and 47,453.76 is: 71,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,111.68 : 258,163.68 = 47,453.76 : x
  2. Step 2: Convert to fraction form
    172,111.68/258,163.68 = 47,453.76/x
  3. Step 3: Cross multiply
    172,111.68x = 258,163.68 × 47,453.76
  4. Step 4: Simplify right side
    172,111.68x = 12,250,837,311.44
  5. Step 5: Solve for x
    x = 12,250,837,311.44/172,111.68
  6. Step 6: Final answer
    x = 71,179.58

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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.