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Finding the Fourth Proportional to 195,186, 269,357 and 105,762

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Solution

The fourth proportional to 195,186, 269,357 and 105,762 is: 145,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,186 : 269,357 = 105,762 : x
  2. Step 2: Convert to fraction form
    195,186/269,357 = 105,762/x
  3. Step 3: Cross multiply
    195,186x = 269,357 × 105,762
  4. Step 4: Simplify right side
    195,186x = 28,487,735,034
  5. Step 5: Solve for x
    x = 28,487,735,034/195,186
  6. Step 6: Final answer
    x = 145,951.73

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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.