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Finding the Fourth Proportional to 195,142.25, 269,296.67 and 105,718.25

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Solution

The fourth proportional to 195,142.25, 269,296.67 and 105,718.25 is: 145,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,142.25 : 269,296.67 = 105,718.25 : x
  2. Step 2: Convert to fraction form
    195,142.25/269,296.67 = 105,718.25/x
  3. Step 3: Cross multiply
    195,142.25x = 269,296.67 × 105,718.25
  4. Step 4: Simplify right side
    195,142.25x = 28,469,572,683.23
  5. Step 5: Solve for x
    x = 28,469,572,683.23/195,142.25
  6. Step 6: Final answer
    x = 145,891.38

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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.