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Finding the Fourth Proportional to 146,364.72, 202,016.44 and 82,739.44

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Solution

The fourth proportional to 146,364.72, 202,016.44 and 82,739.44 is: 114,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,364.72 : 202,016.44 = 82,739.44 : x
  2. Step 2: Convert to fraction form
    146,364.72/202,016.44 = 82,739.44/x
  3. Step 3: Cross multiply
    146,364.72x = 202,016.44 × 82,739.44
  4. Step 4: Simplify right side
    146,364.72x = 16,714,727,116.39
  5. Step 5: Solve for x
    x = 16,714,727,116.39/146,364.72
  6. Step 6: Final answer
    x = 114,199.15

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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.