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Finding the Fourth Proportional to 150,662.60, 207,913.74 and 82,680.68

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Solution

The fourth proportional to 150,662.60, 207,913.74 and 82,680.68 is: 114,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,662.60 : 207,913.74 = 82,680.68 : x
  2. Step 2: Convert to fraction form
    150,662.60/207,913.74 = 82,680.68/x
  3. Step 3: Cross multiply
    150,662.60x = 207,913.74 × 82,680.68
  4. Step 4: Simplify right side
    150,662.60x = 17,190,449,404.54
  5. Step 5: Solve for x
    x = 17,190,449,404.54/150,662.60
  6. Step 6: Final answer
    x = 114,098.98

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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.