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Finding the Fourth Proportional to 172,736, 259,104 and 48,080.24

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Solution

The fourth proportional to 172,736, 259,104 and 48,080.24 is: 72,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,736 : 259,104 = 48,080.24 : x
  2. Step 2: Convert to fraction form
    172,736/259,104 = 48,080.24/x
  3. Step 3: Cross multiply
    172,736x = 259,104 × 48,080.24
  4. Step 4: Simplify right side
    172,736x = 12,457,782,504.96
  5. Step 5: Solve for x
    x = 12,457,782,504.96/172,736
  6. Step 6: Final answer
    x = 72,120.36

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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.