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Finding the Fourth Proportional to 87,199.50, 130,846.50 and 67,516.50

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Solution

The fourth proportional to 87,199.50, 130,846.50 and 67,516.50 is: 101,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,199.50 : 130,846.50 = 67,516.50 : x
  2. Step 2: Convert to fraction form
    87,199.50/130,846.50 = 67,516.50/x
  3. Step 3: Cross multiply
    87,199.50x = 130,846.50 × 67,516.50
  4. Step 4: Simplify right side
    87,199.50x = 8,834,297,717.25
  5. Step 5: Solve for x
    x = 8,834,297,717.25/87,199.50
  6. Step 6: Final answer
    x = 101,311.33

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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.