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Finding the Fourth Proportional to 115,353.24, 159,181.38 and 65,049

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Solution

The fourth proportional to 115,353.24, 159,181.38 and 65,049 is: 89,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,353.24 : 159,181.38 = 65,049 : x
  2. Step 2: Convert to fraction form
    115,353.24/159,181.38 = 65,049/x
  3. Step 3: Cross multiply
    115,353.24x = 159,181.38 × 65,049
  4. Step 4: Simplify right side
    115,353.24x = 10,354,589,587.62
  5. Step 5: Solve for x
    x = 10,354,589,587.62/115,353.24
  6. Step 6: Final answer
    x = 89,764.19

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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.