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Finding the Fourth Proportional to 194,626.26, 268,584.12 and 105,202.26

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Solution

The fourth proportional to 194,626.26, 268,584.12 and 105,202.26 is: 145,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,626.26 : 268,584.12 = 105,202.26 : x
  2. Step 2: Convert to fraction form
    194,626.26/268,584.12 = 105,202.26/x
  3. Step 3: Cross multiply
    194,626.26x = 268,584.12 × 105,202.26
  4. Step 4: Simplify right side
    194,626.26x = 28,255,656,424.11
  5. Step 5: Solve for x
    x = 28,255,656,424.11/194,626.26
  6. Step 6: Final answer
    x = 145,179.05

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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.