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Finding the Fourth Proportional to 195,347, 269,578.98 and 105,923

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Solution

The fourth proportional to 195,347, 269,578.98 and 105,923 is: 146,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,347 : 269,578.98 = 105,923 : x
  2. Step 2: Convert to fraction form
    195,347/269,578.98 = 105,923/x
  3. Step 3: Cross multiply
    195,347x = 269,578.98 × 105,923
  4. Step 4: Simplify right side
    195,347x = 28,554,614,298.54
  5. Step 5: Solve for x
    x = 28,554,614,298.54/195,347
  6. Step 6: Final answer
    x = 146,173.81

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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.