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Finding the Fourth Proportional to 142,605.50, 196,847.43 and 82,989.50

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Solution

The fourth proportional to 142,605.50, 196,847.43 and 82,989.50 is: 114,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,605.50 : 196,847.43 = 82,989.50 : x
  2. Step 2: Convert to fraction form
    142,605.50/196,847.43 = 82,989.50/x
  3. Step 3: Cross multiply
    142,605.50x = 196,847.43 × 82,989.50
  4. Step 4: Simplify right side
    142,605.50x = 16,336,269,791.99
  5. Step 5: Solve for x
    x = 16,336,269,791.99/142,605.50
  6. Step 6: Final answer
    x = 114,555.68

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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.