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Finding the Fourth Proportional to 149,355.57, 206,110.57 and 82,287.57

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Solution

The fourth proportional to 149,355.57, 206,110.57 and 82,287.57 is: 113,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,355.57 : 206,110.57 = 82,287.57 : x
  2. Step 2: Convert to fraction form
    149,355.57/206,110.57 = 82,287.57/x
  3. Step 3: Cross multiply
    149,355.57x = 206,110.57 × 82,287.57
  4. Step 4: Simplify right side
    149,355.57x = 16,960,337,956.61
  5. Step 5: Solve for x
    x = 16,960,337,956.61/149,355.57
  6. Step 6: Final answer
    x = 113,556.78

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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.