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Finding the Fourth Proportional to 181,172.84, 271,768.70 and 54,809.89

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Solution

The fourth proportional to 181,172.84, 271,768.70 and 54,809.89 is: 82,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,172.84 : 271,768.70 = 54,809.89 : x
  2. Step 2: Convert to fraction form
    181,172.84/271,768.70 = 54,809.89/x
  3. Step 3: Cross multiply
    181,172.84x = 271,768.70 × 54,809.89
  4. Step 4: Simplify right side
    181,172.84x = 14,895,612,010.05
  5. Step 5: Solve for x
    x = 14,895,612,010.05/181,172.84
  6. Step 6: Final answer
    x = 82,217.69

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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.