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Finding the Fourth Proportional to 120,174.44, 180,273.90 and 41,278.44

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Solution

The fourth proportional to 120,174.44, 180,273.90 and 41,278.44 is: 61,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,174.44 : 180,273.90 = 41,278.44 : x
  2. Step 2: Convert to fraction form
    120,174.44/180,273.90 = 41,278.44/x
  3. Step 3: Cross multiply
    120,174.44x = 180,273.90 × 41,278.44
  4. Step 4: Simplify right side
    120,174.44x = 7,441,425,364.72
  5. Step 5: Solve for x
    x = 7,441,425,364.72/120,174.44
  6. Step 6: Final answer
    x = 61,921.86

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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.