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Finding the Fourth Proportional to 149,385, 206,155.62 and 82,321.32

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Solution

The fourth proportional to 149,385, 206,155.62 and 82,321.32 is: 113,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,385 : 206,155.62 = 82,321.32 : x
  2. Step 2: Convert to fraction form
    149,385/206,155.62 = 82,321.32/x
  3. Step 3: Cross multiply
    149,385x = 206,155.62 × 82,321.32
  4. Step 4: Simplify right side
    149,385x = 16,971,002,763.82
  5. Step 5: Solve for x
    x = 16,971,002,763.82/149,385
  6. Step 6: Final answer
    x = 113,605.80

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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.