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Finding the Fourth Proportional to 146,659.92, 202,393.72 and 82,997.70

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Solution

The fourth proportional to 146,659.92, 202,393.72 and 82,997.70 is: 114,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,659.92 : 202,393.72 = 82,997.70 : x
  2. Step 2: Convert to fraction form
    146,659.92/202,393.72 = 82,997.70/x
  3. Step 3: Cross multiply
    146,659.92x = 202,393.72 × 82,997.70
  4. Step 4: Simplify right side
    146,659.92x = 16,798,213,254.44
  5. Step 5: Solve for x
    x = 16,798,213,254.44/146,659.92
  6. Step 6: Final answer
    x = 114,538.54

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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.