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Finding the Fourth Proportional to 194,920.56, 268,990.47 and 105,496.56

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Solution

The fourth proportional to 194,920.56, 268,990.47 and 105,496.56 is: 145,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,920.56 : 268,990.47 = 105,496.56 : x
  2. Step 2: Convert to fraction form
    194,920.56/268,990.47 = 105,496.56/x
  3. Step 3: Cross multiply
    194,920.56x = 268,990.47 × 105,496.56
  4. Step 4: Simplify right side
    194,920.56x = 28,377,569,257.78
  5. Step 5: Solve for x
    x = 28,377,569,257.78/194,920.56
  6. Step 6: Final answer
    x = 145,585.31

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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.