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Finding the Fourth Proportional to 177,563.26, 266,472.31 and 120,494.86

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Solution

The fourth proportional to 177,563.26, 266,472.31 and 120,494.86 is: 180,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,563.26 : 266,472.31 = 120,494.86 : x
  2. Step 2: Convert to fraction form
    177,563.26/266,472.31 = 120,494.86/x
  3. Step 3: Cross multiply
    177,563.26x = 266,472.31 × 120,494.86
  4. Step 4: Simplify right side
    177,563.26x = 32,108,543,687.33
  5. Step 5: Solve for x
    x = 32,108,543,687.33/177,563.26
  6. Step 6: Final answer
    x = 180,828.76

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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.