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Finding the Fourth Proportional to 226,908.31, 313,219.13 and 178,383.64

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Solution

The fourth proportional to 226,908.31, 313,219.13 and 178,383.64 is: 246,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,908.31 : 313,219.13 = 178,383.64 : x
  2. Step 2: Convert to fraction form
    226,908.31/313,219.13 = 178,383.64/x
  3. Step 3: Cross multiply
    226,908.31x = 313,219.13 × 178,383.64
  4. Step 4: Simplify right side
    226,908.31x = 55,873,168,527.03
  5. Step 5: Solve for x
    x = 55,873,168,527.03/226,908.31
  6. Step 6: Final answer
    x = 246,236.77

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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.