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Finding the Fourth Proportional to 149,568.75, 206,404.88 and 82,500.75

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Solution

The fourth proportional to 149,568.75, 206,404.88 and 82,500.75 is: 113,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568.75 : 206,404.88 = 82,500.75 : x
  2. Step 2: Convert to fraction form
    149,568.75/206,404.88 = 82,500.75/x
  3. Step 3: Cross multiply
    149,568.75x = 206,404.88 × 82,500.75
  4. Step 4: Simplify right side
    149,568.75x = 17,028,556,991.16
  5. Step 5: Solve for x
    x = 17,028,556,991.16/149,568.75
  6. Step 6: Final answer
    x = 113,851.04

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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.