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Finding the Fourth Proportional to 230,228, 345,361.56 and 64,016

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Solution

The fourth proportional to 230,228, 345,361.56 and 64,016 is: 96,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,228 : 345,361.56 = 64,016 : x
  2. Step 2: Convert to fraction form
    230,228/345,361.56 = 64,016/x
  3. Step 3: Cross multiply
    230,228x = 345,361.56 × 64,016
  4. Step 4: Simplify right side
    230,228x = 22,108,665,624.96
  5. Step 5: Solve for x
    x = 22,108,665,624.96/230,228
  6. Step 6: Final answer
    x = 96,029.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.