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Finding the Fourth Proportional to 195,186.97, 269,355.81 and 105,762.97

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Solution

The fourth proportional to 195,186.97, 269,355.81 and 105,762.97 is: 145,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,186.97 : 269,355.81 = 105,762.97 : x
  2. Step 2: Convert to fraction form
    195,186.97/269,355.81 = 105,762.97/x
  3. Step 3: Cross multiply
    195,186.97x = 269,355.81 × 105,762.97
  4. Step 4: Simplify right side
    195,186.97x = 28,487,870,452.36
  5. Step 5: Solve for x
    x = 28,487,870,452.36/195,186.97
  6. Step 6: Final answer
    x = 145,951.70

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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.