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Finding the Fourth Proportional to 194,446, 268,335.66 and 105,022

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Solution

The fourth proportional to 194,446, 268,335.66 and 105,022 is: 144,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,446 : 268,335.66 = 105,022 : x
  2. Step 2: Convert to fraction form
    194,446/268,335.66 = 105,022/x
  3. Step 3: Cross multiply
    194,446x = 268,335.66 × 105,022
  4. Step 4: Simplify right side
    194,446x = 28,181,147,684.52
  5. Step 5: Solve for x
    x = 28,181,147,684.52/194,446
  6. Step 6: Final answer
    x = 144,930.46

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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.