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Finding the Fourth Proportional to 195,092.96, 269,226.60 and 105,668.96

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Solution

The fourth proportional to 195,092.96, 269,226.60 and 105,668.96 is: 145,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,092.96 : 269,226.60 = 105,668.96 : x
  2. Step 2: Convert to fraction form
    195,092.96/269,226.60 = 105,668.96/x
  3. Step 3: Cross multiply
    195,092.96x = 269,226.60 × 105,668.96
  4. Step 4: Simplify right side
    195,092.96x = 28,448,894,826.34
  5. Step 5: Solve for x
    x = 28,448,894,826.34/195,092.96
  6. Step 6: Final answer
    x = 145,822.25

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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.