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Finding the Fourth Proportional to 149,295.24, 206,017.98 and 82,227.24

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Solution

The fourth proportional to 149,295.24, 206,017.98 and 82,227.24 is: 113,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,295.24 : 206,017.98 = 82,227.24 : x
  2. Step 2: Convert to fraction form
    149,295.24/206,017.98 = 82,227.24/x
  3. Step 3: Cross multiply
    149,295.24x = 206,017.98 × 82,227.24
  4. Step 4: Simplify right side
    149,295.24x = 16,940,289,885.78
  5. Step 5: Solve for x
    x = 16,940,289,885.78/149,295.24
  6. Step 6: Final answer
    x = 113,468.39

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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.