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Finding the Fourth Proportional to 146,452.92, 202,108.14 and 82,786.92

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Solution

The fourth proportional to 146,452.92, 202,108.14 and 82,786.92 is: 114,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,452.92 : 202,108.14 = 82,786.92 : x
  2. Step 2: Convert to fraction form
    146,452.92/202,108.14 = 82,786.92/x
  3. Step 3: Cross multiply
    146,452.92x = 202,108.14 × 82,786.92
  4. Step 4: Simplify right side
    146,452.92x = 16,731,910,417.53
  5. Step 5: Solve for x
    x = 16,731,910,417.53/146,452.92
  6. Step 6: Final answer
    x = 114,247.71

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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.