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Finding the Fourth Proportional to 150,662.35, 207,913.39 and 82,680.43

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Solution

The fourth proportional to 150,662.35, 207,913.39 and 82,680.43 is: 114,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,662.35 : 207,913.39 = 82,680.43 : x
  2. Step 2: Convert to fraction form
    150,662.35/207,913.39 = 82,680.43/x
  3. Step 3: Cross multiply
    150,662.35x = 207,913.39 × 82,680.43
  4. Step 4: Simplify right side
    150,662.35x = 17,190,368,487.96
  5. Step 5: Solve for x
    x = 17,190,368,487.96/150,662.35
  6. Step 6: Final answer
    x = 114,098.64

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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.