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Finding the Fourth Proportional to 194,898.96, 268,963.20 and 105,474.96

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Solution

The fourth proportional to 194,898.96, 268,963.20 and 105,474.96 is: 145,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898.96 : 268,963.20 = 105,474.96 : x
  2. Step 2: Convert to fraction form
    194,898.96/268,963.20 = 105,474.96/x
  3. Step 3: Cross multiply
    194,898.96x = 268,963.20 × 105,474.96
  4. Step 4: Simplify right side
    194,898.96x = 28,368,882,761.47
  5. Step 5: Solve for x
    x = 28,368,882,761.47/194,898.96
  6. Step 6: Final answer
    x = 145,556.87

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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.