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Finding the Fourth Proportional to 206,611.36, 309,916.53 and 116,613.27

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Solution

The fourth proportional to 206,611.36, 309,916.53 and 116,613.27 is: 174,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,611.36 : 309,916.53 = 116,613.27 : x
  2. Step 2: Convert to fraction form
    206,611.36/309,916.53 = 116,613.27/x
  3. Step 3: Cross multiply
    206,611.36x = 309,916.53 × 116,613.27
  4. Step 4: Simplify right side
    206,611.36x = 36,140,379,990.35
  5. Step 5: Solve for x
    x = 36,140,379,990.35/206,611.36
  6. Step 6: Final answer
    x = 174,919.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.