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Finding the Fourth Proportional to 101,509.26, 140,099.49 and 69,651.96

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Solution

The fourth proportional to 101,509.26, 140,099.49 and 69,651.96 is: 96,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,509.26 : 140,099.49 = 69,651.96 : x
  2. Step 2: Convert to fraction form
    101,509.26/140,099.49 = 69,651.96/x
  3. Step 3: Cross multiply
    101,509.26x = 140,099.49 × 69,651.96
  4. Step 4: Simplify right side
    101,509.26x = 9,758,204,073.50
  5. Step 5: Solve for x
    x = 9,758,204,073.50/101,509.26
  6. Step 6: Final answer
    x = 96,131.17

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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.