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Finding the Fourth Proportional to 146,188.32, 201,714.48 and 82,524.48

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Solution

The fourth proportional to 146,188.32, 201,714.48 and 82,524.48 is: 113,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,188.32 : 201,714.48 = 82,524.48 : x
  2. Step 2: Convert to fraction form
    146,188.32/201,714.48 = 82,524.48/x
  3. Step 3: Cross multiply
    146,188.32x = 201,714.48 × 82,524.48
  4. Step 4: Simplify right side
    146,188.32x = 16,646,382,570.47
  5. Step 5: Solve for x
    x = 16,646,382,570.47/146,188.32
  6. Step 6: Final answer
    x = 113,869.44

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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.