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Finding the Fourth Proportional to 194,586, 268,528.68 and 105,162

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Solution

The fourth proportional to 194,586, 268,528.68 and 105,162 is: 145,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,586 : 268,528.68 = 105,162 : x
  2. Step 2: Convert to fraction form
    194,586/268,528.68 = 105,162/x
  3. Step 3: Cross multiply
    194,586x = 268,528.68 × 105,162
  4. Step 4: Simplify right side
    194,586x = 28,239,013,046.16
  5. Step 5: Solve for x
    x = 28,239,013,046.16/194,586
  6. Step 6: Final answer
    x = 145,123.56

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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.