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Finding the Fourth Proportional to 149,328.60, 206,073.46 and 82,260.60

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Solution

The fourth proportional to 149,328.60, 206,073.46 and 82,260.60 is: 113,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,328.60 : 206,073.46 = 82,260.60 : x
  2. Step 2: Convert to fraction form
    149,328.60/206,073.46 = 82,260.60/x
  3. Step 3: Cross multiply
    149,328.60x = 206,073.46 × 82,260.60
  4. Step 4: Simplify right side
    149,328.60x = 16,951,726,463.68
  5. Step 5: Solve for x
    x = 16,951,726,463.68/149,328.60
  6. Step 6: Final answer
    x = 113,519.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.