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Finding the Fourth Proportional to 149,314.89, 206,054.52 and 82,246.89

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Solution

The fourth proportional to 149,314.89, 206,054.52 and 82,246.89 is: 113,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314.89 : 206,054.52 = 82,246.89 : x
  2. Step 2: Convert to fraction form
    149,314.89/206,054.52 = 82,246.89/x
  3. Step 3: Cross multiply
    149,314.89x = 206,054.52 × 82,246.89
  4. Step 4: Simplify right side
    149,314.89x = 16,947,343,440.44
  5. Step 5: Solve for x
    x = 16,947,343,440.44/149,314.89
  6. Step 6: Final answer
    x = 113,500.69

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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.