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Finding the Fourth Proportional to 115,195, 159,022.38 and 81,231.16

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Solution

The fourth proportional to 115,195, 159,022.38 and 81,231.16 is: 112,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,195 : 159,022.38 = 81,231.16 : x
  2. Step 2: Convert to fraction form
    115,195/159,022.38 = 81,231.16/x
  3. Step 3: Cross multiply
    115,195x = 159,022.38 × 81,231.16
  4. Step 4: Simplify right side
    115,195x = 12,917,572,393.36
  5. Step 5: Solve for x
    x = 12,917,572,393.36/115,195
  6. Step 6: Final answer
    x = 112,136.57

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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.