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Finding the Fourth Proportional to 227,694.76, 314,236.74 and 132,231.40

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Solution

The fourth proportional to 227,694.76, 314,236.74 and 132,231.40 is: 182,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,694.76 : 314,236.74 = 132,231.40 : x
  2. Step 2: Convert to fraction form
    227,694.76/314,236.74 = 132,231.40/x
  3. Step 3: Cross multiply
    227,694.76x = 314,236.74 × 132,231.40
  4. Step 4: Simplify right side
    227,694.76x = 41,551,964,061.64
  5. Step 5: Solve for x
    x = 41,551,964,061.64/227,694.76
  6. Step 6: Final answer
    x = 182,489.77

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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.