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Finding the Fourth Proportional to 227,446.32, 313,878 and 131,954.64

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Solution

The fourth proportional to 227,446.32, 313,878 and 131,954.64 is: 182,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,446.32 : 313,878 = 131,954.64 : x
  2. Step 2: Convert to fraction form
    227,446.32/313,878 = 131,954.64/x
  3. Step 3: Cross multiply
    227,446.32x = 313,878 × 131,954.64
  4. Step 4: Simplify right side
    227,446.32x = 41,417,658,493.92
  5. Step 5: Solve for x
    x = 41,417,658,493.92/227,446.32
  6. Step 6: Final answer
    x = 182,098.61

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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.