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Finding the Fourth Proportional to 149,338.35, 206,086.92 and 82,270.35

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Solution

The fourth proportional to 149,338.35, 206,086.92 and 82,270.35 is: 113,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,338.35 : 206,086.92 = 82,270.35 : x
  2. Step 2: Convert to fraction form
    149,338.35/206,086.92 = 82,270.35/x
  3. Step 3: Cross multiply
    149,338.35x = 206,086.92 × 82,270.35
  4. Step 4: Simplify right side
    149,338.35x = 16,954,843,038.82
  5. Step 5: Solve for x
    x = 16,954,843,038.82/149,338.35
  6. Step 6: Final answer
    x = 113,533.08

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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.