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Finding the Fourth Proportional to 149,379.50, 206,153.70 and 82,311.50

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Solution

The fourth proportional to 149,379.50, 206,153.70 and 82,311.50 is: 113,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,379.50 : 206,153.70 = 82,311.50 : x
  2. Step 2: Convert to fraction form
    149,379.50/206,153.70 = 82,311.50/x
  3. Step 3: Cross multiply
    149,379.50x = 206,153.70 × 82,311.50
  4. Step 4: Simplify right side
    149,379.50x = 16,968,820,277.55
  5. Step 5: Solve for x
    x = 16,968,820,277.55/149,379.50
  6. Step 6: Final answer
    x = 113,595.37

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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.