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Finding the Fourth Proportional to 194,630.26, 268,589.64 and 105,206.26

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Solution

The fourth proportional to 194,630.26, 268,589.64 and 105,206.26 is: 145,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,630.26 : 268,589.64 = 105,206.26 : x
  2. Step 2: Convert to fraction form
    194,630.26/268,589.64 = 105,206.26/x
  3. Step 3: Cross multiply
    194,630.26x = 268,589.64 × 105,206.26
  4. Step 4: Simplify right side
    194,630.26x = 28,257,311,499.15
  5. Step 5: Solve for x
    x = 28,257,311,499.15/194,630.26
  6. Step 6: Final answer
    x = 145,184.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.