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Finding the Fourth Proportional to 130,286.88, 179,768.16 and 100,105.20

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Solution

The fourth proportional to 130,286.88, 179,768.16 and 100,105.20 is: 138,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,286.88 : 179,768.16 = 100,105.20 : x
  2. Step 2: Convert to fraction form
    130,286.88/179,768.16 = 100,105.20/x
  3. Step 3: Cross multiply
    130,286.88x = 179,768.16 × 100,105.20
  4. Step 4: Simplify right side
    130,286.88x = 17,995,727,610.43
  5. Step 5: Solve for x
    x = 17,995,727,610.43/130,286.88
  6. Step 6: Final answer
    x = 138,123.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.