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Finding the Fourth Proportional to 206,576, 309,803.92 and 86,629.64

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Solution

The fourth proportional to 206,576, 309,803.92 and 86,629.64 is: 129,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,576 : 309,803.92 = 86,629.64 : x
  2. Step 2: Convert to fraction form
    206,576/309,803.92 = 86,629.64/x
  3. Step 3: Cross multiply
    206,576x = 309,803.92 × 86,629.64
  4. Step 4: Simplify right side
    206,576x = 26,838,202,060.19
  5. Step 5: Solve for x
    x = 26,838,202,060.19/206,576
  6. Step 6: Final answer
    x = 129,919.26

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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.