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Finding the Fourth Proportional to 194,863.32, 268,912.19 and 105,439.32

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Solution

The fourth proportional to 194,863.32, 268,912.19 and 105,439.32 is: 145,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,863.32 : 268,912.19 = 105,439.32 : x
  2. Step 2: Convert to fraction form
    194,863.32/268,912.19 = 105,439.32/x
  3. Step 3: Cross multiply
    194,863.32x = 268,912.19 × 105,439.32
  4. Step 4: Simplify right side
    194,863.32x = 28,353,917,926.11
  5. Step 5: Solve for x
    x = 28,353,917,926.11/194,863.32
  6. Step 6: Final answer
    x = 145,506.70

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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.