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Finding the Fourth Proportional to 172,808.84, 259,213.26 and 54,489.41

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Solution

The fourth proportional to 172,808.84, 259,213.26 and 54,489.41 is: 81,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,808.84 : 259,213.26 = 54,489.41 : x
  2. Step 2: Convert to fraction form
    172,808.84/259,213.26 = 54,489.41/x
  3. Step 3: Cross multiply
    172,808.84x = 259,213.26 × 54,489.41
  4. Step 4: Simplify right side
    172,808.84x = 14,124,377,481.90
  5. Step 5: Solve for x
    x = 14,124,377,481.90/172,808.84
  6. Step 6: Final answer
    x = 81,734.11

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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.