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Finding the Fourth Proportional to 194,998.26, 269,099.38 and 114,427.12

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Solution

The fourth proportional to 194,998.26, 269,099.38 and 114,427.12 is: 157,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,998.26 : 269,099.38 = 114,427.12 : x
  2. Step 2: Convert to fraction form
    194,998.26/269,099.38 = 114,427.12/x
  3. Step 3: Cross multiply
    194,998.26x = 269,099.38 × 114,427.12
  4. Step 4: Simplify right side
    194,998.26x = 30,792,267,047.19
  5. Step 5: Solve for x
    x = 30,792,267,047.19/194,998.26
  6. Step 6: Final answer
    x = 157,910.47

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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.