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Finding the Fourth Proportional to 149,752.92, 206,659.98 and 82,684.92

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Solution

The fourth proportional to 149,752.92, 206,659.98 and 82,684.92 is: 114,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,752.92 : 206,659.98 = 82,684.92 : x
  2. Step 2: Convert to fraction form
    149,752.92/206,659.98 = 82,684.92/x
  3. Step 3: Cross multiply
    149,752.92x = 206,659.98 × 82,684.92
  4. Step 4: Simplify right side
    149,752.92x = 17,087,663,913.50
  5. Step 5: Solve for x
    x = 17,087,663,913.50/149,752.92
  6. Step 6: Final answer
    x = 114,105.71

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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.