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Finding the Fourth Proportional to 146,940.62, 202,800.21 and 89,613.20

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Solution

The fourth proportional to 146,940.62, 202,800.21 and 89,613.20 is: 123,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,940.62 : 202,800.21 = 89,613.20 : x
  2. Step 2: Convert to fraction form
    146,940.62/202,800.21 = 89,613.20/x
  3. Step 3: Cross multiply
    146,940.62x = 202,800.21 × 89,613.20
  4. Step 4: Simplify right side
    146,940.62x = 18,173,575,949.72
  5. Step 5: Solve for x
    x = 18,173,575,949.72/146,940.62
  6. Step 6: Final answer
    x = 123,679.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.