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Finding the Fourth Proportional to 100,398.12, 150,301.28 and 87,942.48

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Solution

The fourth proportional to 100,398.12, 150,301.28 and 87,942.48 is: 131,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.12 : 150,301.28 = 87,942.48 : x
  2. Step 2: Convert to fraction form
    100,398.12/150,301.28 = 87,942.48/x
  3. Step 3: Cross multiply
    100,398.12x = 150,301.28 × 87,942.48
  4. Step 4: Simplify right side
    100,398.12x = 13,217,867,310.37
  5. Step 5: Solve for x
    x = 13,217,867,310.37/100,398.12
  6. Step 6: Final answer
    x = 131,654.53

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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.