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Finding the Fourth Proportional to 115,676.16, 159,475.20 and 73,213.44

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Solution

The fourth proportional to 115,676.16, 159,475.20 and 73,213.44 is: 100,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,676.16 : 159,475.20 = 73,213.44 : x
  2. Step 2: Convert to fraction form
    115,676.16/159,475.20 = 73,213.44/x
  3. Step 3: Cross multiply
    115,676.16x = 159,475.20 × 73,213.44
  4. Step 4: Simplify right side
    115,676.16x = 11,675,727,986.69
  5. Step 5: Solve for x
    x = 11,675,727,986.69/115,676.16
  6. Step 6: Final answer
    x = 100,934.61

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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.