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Finding the Fourth Proportional to 194,863.68, 268,924.32 and 109,949.76

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Solution

The fourth proportional to 194,863.68, 268,924.32 and 109,949.76 is: 151,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,863.68 : 268,924.32 = 109,949.76 : x
  2. Step 2: Convert to fraction form
    194,863.68/268,924.32 = 109,949.76/x
  3. Step 3: Cross multiply
    194,863.68x = 268,924.32 × 109,949.76
  4. Step 4: Simplify right side
    194,863.68x = 29,568,164,442.16
  5. Step 5: Solve for x
    x = 29,568,164,442.16/194,863.68
  6. Step 6: Final answer
    x = 151,737.69

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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.