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Finding the Fourth Proportional to 194,956.38, 269,024.79 and 110,081.82

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Solution

The fourth proportional to 194,956.38, 269,024.79 and 110,081.82 is: 151,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,956.38 : 269,024.79 = 110,081.82 : x
  2. Step 2: Convert to fraction form
    194,956.38/269,024.79 = 110,081.82/x
  3. Step 3: Cross multiply
    194,956.38x = 269,024.79 × 110,081.82
  4. Step 4: Simplify right side
    194,956.38x = 29,614,738,508.32
  5. Step 5: Solve for x
    x = 29,614,738,508.32/194,956.38
  6. Step 6: Final answer
    x = 151,904.43

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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.