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Finding the Fourth Proportional to 195,288.72, 269,497.80 and 105,864.72

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Solution

The fourth proportional to 195,288.72, 269,497.80 and 105,864.72 is: 146,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,288.72 : 269,497.80 = 105,864.72 : x
  2. Step 2: Convert to fraction form
    195,288.72/269,497.80 = 105,864.72/x
  3. Step 3: Cross multiply
    195,288.72x = 269,497.80 × 105,864.72
  4. Step 4: Simplify right side
    195,288.72x = 28,530,309,137.62
  5. Step 5: Solve for x
    x = 28,530,309,137.62/195,288.72
  6. Step 6: Final answer
    x = 146,092.97

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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.