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Finding the Fourth Proportional to 181,406.56, 272,110.42 and 55,047.86

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Solution

The fourth proportional to 181,406.56, 272,110.42 and 55,047.86 is: 82,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,406.56 : 272,110.42 = 55,047.86 : x
  2. Step 2: Convert to fraction form
    181,406.56/272,110.42 = 55,047.86/x
  3. Step 3: Cross multiply
    181,406.56x = 272,110.42 × 55,047.86
  4. Step 4: Simplify right side
    181,406.56x = 14,979,096,304.70
  5. Step 5: Solve for x
    x = 14,979,096,304.70/181,406.56
  6. Step 6: Final answer
    x = 82,571.97

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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.