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Finding the Fourth Proportional to 181,164.56, 271,756.32 and 54,801.56

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Solution

The fourth proportional to 181,164.56, 271,756.32 and 54,801.56 is: 82,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,164.56 : 271,756.32 = 54,801.56 : x
  2. Step 2: Convert to fraction form
    181,164.56/271,756.32 = 54,801.56/x
  3. Step 3: Cross multiply
    181,164.56x = 271,756.32 × 54,801.56
  4. Step 4: Simplify right side
    181,164.56x = 14,892,670,001.85
  5. Step 5: Solve for x
    x = 14,892,670,001.85/181,164.56
  6. Step 6: Final answer
    x = 82,205.21

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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.