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Finding the Fourth Proportional to 149,390, 206,162.60 and 82,326.32

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Solution

The fourth proportional to 149,390, 206,162.60 and 82,326.32 is: 113,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,390 : 206,162.60 = 82,326.32 : x
  2. Step 2: Convert to fraction form
    149,390/206,162.60 = 82,326.32/x
  3. Step 3: Cross multiply
    149,390x = 206,162.60 × 82,326.32
  4. Step 4: Simplify right side
    149,390x = 16,972,608,179.63
  5. Step 5: Solve for x
    x = 16,972,608,179.63/149,390
  6. Step 6: Final answer
    x = 113,612.75

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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.