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Finding the Fourth Proportional to 194,825.68, 268,856.81 and 108,786.00

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Solution

The fourth proportional to 194,825.68, 268,856.81 and 108,786.00 is: 150,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,825.68 : 268,856.81 = 108,786.00 : x
  2. Step 2: Convert to fraction form
    194,825.68/268,856.81 = 108,786.00/x
  3. Step 3: Cross multiply
    194,825.68x = 268,856.81 × 108,786.00
  4. Step 4: Simplify right side
    194,825.68x = 29,247,855,044.45
  5. Step 5: Solve for x
    x = 29,247,855,044.45/194,825.68
  6. Step 6: Final answer
    x = 150,123.20

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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.