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Finding the Fourth Proportional to 101,676.75, 152,568.31 and 73,826.85

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Solution

The fourth proportional to 101,676.75, 152,568.31 and 73,826.85 is: 110,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,676.75 : 152,568.31 = 73,826.85 : x
  2. Step 2: Convert to fraction form
    101,676.75/152,568.31 = 73,826.85/x
  3. Step 3: Cross multiply
    101,676.75x = 152,568.31 × 73,826.85
  4. Step 4: Simplify right side
    101,676.75x = 11,263,637,737.12
  5. Step 5: Solve for x
    x = 11,263,637,737.12/101,676.75
  6. Step 6: Final answer
    x = 110,778.89

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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.