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Finding the Fourth Proportional to 140,922.72, 194,479.38 and 84,323.16

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Solution

The fourth proportional to 140,922.72, 194,479.38 and 84,323.16 is: 116,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,922.72 : 194,479.38 = 84,323.16 : x
  2. Step 2: Convert to fraction form
    140,922.72/194,479.38 = 84,323.16/x
  3. Step 3: Cross multiply
    140,922.72x = 194,479.38 × 84,323.16
  4. Step 4: Simplify right side
    140,922.72x = 16,399,115,876.44
  5. Step 5: Solve for x
    x = 16,399,115,876.44/140,922.72
  6. Step 6: Final answer
    x = 116,369.57

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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.