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Finding the Fourth Proportional to 411,183.42, 616,768.65 and 130,696.62

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Solution

The fourth proportional to 411,183.42, 616,768.65 and 130,696.62 is: 196,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,183.42 : 616,768.65 = 130,696.62 : x
  2. Step 2: Convert to fraction form
    411,183.42/616,768.65 = 130,696.62/x
  3. Step 3: Cross multiply
    411,183.42x = 616,768.65 × 130,696.62
  4. Step 4: Simplify right side
    411,183.42x = 80,609,577,876.96
  5. Step 5: Solve for x
    x = 80,609,577,876.96/411,183.42
  6. Step 6: Final answer
    x = 196,042.87

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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.