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Finding the Fourth Proportional to 195,092, 269,226.96 and 105,668

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Solution

The fourth proportional to 195,092, 269,226.96 and 105,668 is: 145,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,092 : 269,226.96 = 105,668 : x
  2. Step 2: Convert to fraction form
    195,092/269,226.96 = 105,668/x
  3. Step 3: Cross multiply
    195,092x = 269,226.96 × 105,668
  4. Step 4: Simplify right side
    195,092x = 28,448,674,409.28
  5. Step 5: Solve for x
    x = 28,448,674,409.28/195,092
  6. Step 6: Final answer
    x = 145,821.84

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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.