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Finding the Fourth Proportional to 194,446.92, 268,336.76 and 105,022.92

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Solution

The fourth proportional to 194,446.92, 268,336.76 and 105,022.92 is: 144,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,446.92 : 268,336.76 = 105,022.92 : x
  2. Step 2: Convert to fraction form
    194,446.92/268,336.76 = 105,022.92/x
  3. Step 3: Cross multiply
    194,446.92x = 268,336.76 × 105,022.92
  4. Step 4: Simplify right side
    194,446.92x = 28,181,509,553.42
  5. Step 5: Solve for x
    x = 28,181,509,553.42/194,446.92
  6. Step 6: Final answer
    x = 144,931.63

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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.