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Finding the Fourth Proportional to 419,748.90, 629,437.59 and 120,161.22

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Solution

The fourth proportional to 419,748.90, 629,437.59 and 120,161.22 is: 180,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,748.90 : 629,437.59 = 120,161.22 : x
  2. Step 2: Convert to fraction form
    419,748.90/629,437.59 = 120,161.22/x
  3. Step 3: Cross multiply
    419,748.90x = 629,437.59 × 120,161.22
  4. Step 4: Simplify right side
    419,748.90x = 75,633,988,728.26
  5. Step 5: Solve for x
    x = 75,633,988,728.26/419,748.90
  6. Step 6: Final answer
    x = 180,188.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.