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Finding the Fourth Proportional to 195,360, 269,596.98 and 105,936

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Solution

The fourth proportional to 195,360, 269,596.98 and 105,936 is: 146,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,360 : 269,596.98 = 105,936 : x
  2. Step 2: Convert to fraction form
    195,360/269,596.98 = 105,936/x
  3. Step 3: Cross multiply
    195,360x = 269,596.98 × 105,936
  4. Step 4: Simplify right side
    195,360x = 28,560,025,673.28
  5. Step 5: Solve for x
    x = 28,560,025,673.28/195,360
  6. Step 6: Final answer
    x = 146,191.78

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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.