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Finding the Fourth Proportional to 227,297.43, 340,872.32 and 107,335.82

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Solution

The fourth proportional to 227,297.43, 340,872.32 and 107,335.82 is: 160,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,297.43 : 340,872.32 = 107,335.82 : x
  2. Step 2: Convert to fraction form
    227,297.43/340,872.32 = 107,335.82/x
  3. Step 3: Cross multiply
    227,297.43x = 340,872.32 × 107,335.82
  4. Step 4: Simplify right side
    227,297.43x = 36,587,807,741.46
  5. Step 5: Solve for x
    x = 36,587,807,741.46/227,297.43
  6. Step 6: Final answer
    x = 160,968.86

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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.