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Finding the Fourth Proportional to 181,172.65, 271,768.85 and 54,809.82

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Solution

The fourth proportional to 181,172.65, 271,768.85 and 54,809.82 is: 82,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,172.65 : 271,768.85 = 54,809.82 : x
  2. Step 2: Convert to fraction form
    181,172.65/271,768.85 = 54,809.82/x
  3. Step 3: Cross multiply
    181,172.65x = 271,768.85 × 54,809.82
  4. Step 4: Simplify right side
    181,172.65x = 14,895,601,750.11
  5. Step 5: Solve for x
    x = 14,895,601,750.11/181,172.65
  6. Step 6: Final answer
    x = 82,217.72

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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.