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Finding the Fourth Proportional to 149,620.25, 206,475.95 and 82,552.25

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Solution

The fourth proportional to 149,620.25, 206,475.95 and 82,552.25 is: 113,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,620.25 : 206,475.95 = 82,552.25 : x
  2. Step 2: Convert to fraction form
    149,620.25/206,475.95 = 82,552.25/x
  3. Step 3: Cross multiply
    149,620.25x = 206,475.95 × 82,552.25
  4. Step 4: Simplify right side
    149,620.25x = 17,045,054,243.39
  5. Step 5: Solve for x
    x = 17,045,054,243.39/149,620.25
  6. Step 6: Final answer
    x = 113,922.11

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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.