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Finding the Fourth Proportional to 120,546.90, 180,797.27 and 41,644.80

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Solution

The fourth proportional to 120,546.90, 180,797.27 and 41,644.80 is: 62,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,546.90 : 180,797.27 = 41,644.80 : x
  2. Step 2: Convert to fraction form
    120,546.90/180,797.27 = 41,644.80/x
  3. Step 3: Cross multiply
    120,546.90x = 180,797.27 × 41,644.80
  4. Step 4: Simplify right side
    120,546.90x = 7,529,265,941.47
  5. Step 5: Solve for x
    x = 7,529,265,941.47/120,546.90
  6. Step 6: Final answer
    x = 62,459.22

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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.