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Finding the Fourth Proportional to 150,508.14, 225,859.83 and 65,202.31

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Solution

The fourth proportional to 150,508.14, 225,859.83 and 65,202.31 is: 97,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,508.14 : 225,859.83 = 65,202.31 : x
  2. Step 2: Convert to fraction form
    150,508.14/225,859.83 = 65,202.31/x
  3. Step 3: Cross multiply
    150,508.14x = 225,859.83 × 65,202.31
  4. Step 4: Simplify right side
    150,508.14x = 14,726,582,652.21
  5. Step 5: Solve for x
    x = 14,726,582,652.21/150,508.14
  6. Step 6: Final answer
    x = 97,845.76

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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.