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Finding the Fourth Proportional to 149,708.16, 206,597.44 and 82,640.16

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Solution

The fourth proportional to 149,708.16, 206,597.44 and 82,640.16 is: 114,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,708.16 : 206,597.44 = 82,640.16 : x
  2. Step 2: Convert to fraction form
    149,708.16/206,597.44 = 82,640.16/x
  3. Step 3: Cross multiply
    149,708.16x = 206,597.44 × 82,640.16
  4. Step 4: Simplify right side
    149,708.16x = 17,073,245,497.19
  5. Step 5: Solve for x
    x = 17,073,245,497.19/149,708.16
  6. Step 6: Final answer
    x = 114,043.52

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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.