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Finding the Fourth Proportional to 120,652.88, 181,012.14 and 41,773.28

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Solution

The fourth proportional to 120,652.88, 181,012.14 and 41,773.28 is: 62,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,652.88 : 181,012.14 = 41,773.28 : x
  2. Step 2: Convert to fraction form
    120,652.88/181,012.14 = 41,773.28/x
  3. Step 3: Cross multiply
    120,652.88x = 181,012.14 × 41,773.28
  4. Step 4: Simplify right side
    120,652.88x = 7,561,469,902.56
  5. Step 5: Solve for x
    x = 7,561,469,902.56/120,652.88
  6. Step 6: Final answer
    x = 62,671.28

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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.