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Finding the Fourth Proportional to 120,169.44, 180,266.40 and 41,273.44

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Solution

The fourth proportional to 120,169.44, 180,266.40 and 41,273.44 is: 61,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169.44 : 180,266.40 = 41,273.44 : x
  2. Step 2: Convert to fraction form
    120,169.44/180,266.40 = 41,273.44/x
  3. Step 3: Cross multiply
    120,169.44x = 180,266.40 × 41,273.44
  4. Step 4: Simplify right side
    120,169.44x = 7,440,214,444.42
  5. Step 5: Solve for x
    x = 7,440,214,444.42/120,169.44
  6. Step 6: Final answer
    x = 61,914.36

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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.