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Finding the Fourth Proportional to 78,198.42, 117,484.56 and 50,173.50

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Solution

The fourth proportional to 78,198.42, 117,484.56 and 50,173.50 is: 75,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.42 : 117,484.56 = 50,173.50 : x
  2. Step 2: Convert to fraction form
    78,198.42/117,484.56 = 50,173.50/x
  3. Step 3: Cross multiply
    78,198.42x = 117,484.56 × 50,173.50
  4. Step 4: Simplify right side
    78,198.42x = 5,894,611,571.16
  5. Step 5: Solve for x
    x = 5,894,611,571.16/78,198.42
  6. Step 6: Final answer
    x = 75,380.19

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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.