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Finding the Fourth Proportional to 181,222.67, 271,876.53 and 54,863.88

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Solution

The fourth proportional to 181,222.67, 271,876.53 and 54,863.88 is: 82,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,222.67 : 271,876.53 = 54,863.88 : x
  2. Step 2: Convert to fraction form
    181,222.67/271,876.53 = 54,863.88/x
  3. Step 3: Cross multiply
    181,222.67x = 271,876.53 × 54,863.88
  4. Step 4: Simplify right side
    181,222.67x = 14,916,201,316.74
  5. Step 5: Solve for x
    x = 14,916,201,316.74/181,222.67
  6. Step 6: Final answer
    x = 82,308.70

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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.