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Finding the Fourth Proportional to 120,496.98, 180,781.92 and 41,619.18

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Solution

The fourth proportional to 120,496.98, 180,781.92 and 41,619.18 is: 62,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,496.98 : 180,781.92 = 41,619.18 : x
  2. Step 2: Convert to fraction form
    120,496.98/180,781.92 = 41,619.18/x
  3. Step 3: Cross multiply
    120,496.98x = 180,781.92 × 41,619.18
  4. Step 4: Simplify right side
    120,496.98x = 7,523,995,269.23
  5. Step 5: Solve for x
    x = 7,523,995,269.23/120,496.98
  6. Step 6: Final answer
    x = 62,441.36

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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.