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Finding the Fourth Proportional to 225,693.12, 338,760 and 107,446.08

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Solution

The fourth proportional to 225,693.12, 338,760 and 107,446.08 is: 161,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,693.12 : 338,760 = 107,446.08 : x
  2. Step 2: Convert to fraction form
    225,693.12/338,760 = 107,446.08/x
  3. Step 3: Cross multiply
    225,693.12x = 338,760 × 107,446.08
  4. Step 4: Simplify right side
    225,693.12x = 36,398,434,060.80
  5. Step 5: Solve for x
    x = 36,398,434,060.80/225,693.12
  6. Step 6: Final answer
    x = 161,274.01

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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.