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Finding the Fourth Proportional to 142,728.50, 196,914.83 and 85,327.98

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Solution

The fourth proportional to 142,728.50, 196,914.83 and 85,327.98 is: 117,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,728.50 : 196,914.83 = 85,327.98 : x
  2. Step 2: Convert to fraction form
    142,728.50/196,914.83 = 85,327.98/x
  3. Step 3: Cross multiply
    142,728.50x = 196,914.83 × 85,327.98
  4. Step 4: Simplify right side
    142,728.50x = 16,802,344,249.30
  5. Step 5: Solve for x
    x = 16,802,344,249.30/142,728.50
  6. Step 6: Final answer
    x = 117,722.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.