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Finding the Fourth Proportional to 195,262.86, 269,463.15 and 105,838.86

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Solution

The fourth proportional to 195,262.86, 269,463.15 and 105,838.86 is: 146,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,262.86 : 269,463.15 = 105,838.86 : x
  2. Step 2: Convert to fraction form
    195,262.86/269,463.15 = 105,838.86/x
  3. Step 3: Cross multiply
    195,262.86x = 269,463.15 × 105,838.86
  4. Step 4: Simplify right side
    195,262.86x = 28,519,672,608.01
  5. Step 5: Solve for x
    x = 28,519,672,608.01/195,262.86
  6. Step 6: Final answer
    x = 146,057.85

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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.