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Finding the Fourth Proportional to 194,722, 268,716.38 and 105,298

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Solution

The fourth proportional to 194,722, 268,716.38 and 105,298 is: 145,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,722 : 268,716.38 = 105,298 : x
  2. Step 2: Convert to fraction form
    194,722/268,716.38 = 105,298/x
  3. Step 3: Cross multiply
    194,722x = 268,716.38 × 105,298
  4. Step 4: Simplify right side
    194,722x = 28,295,296,854.75
  5. Step 5: Solve for x
    x = 28,295,296,854.75/194,722
  6. Step 6: Final answer
    x = 145,311.25

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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.