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Finding the Fourth Proportional to 150,147.39, 207,203.38 and 82,164.37

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Solution

The fourth proportional to 150,147.39, 207,203.38 and 82,164.37 is: 113,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,147.39 : 207,203.38 = 82,164.37 : x
  2. Step 2: Convert to fraction form
    150,147.39/207,203.38 = 82,164.37/x
  3. Step 3: Cross multiply
    150,147.39x = 207,203.38 × 82,164.37
  4. Step 4: Simplify right side
    150,147.39x = 17,024,735,179.57
  5. Step 5: Solve for x
    x = 17,024,735,179.57/150,147.39
  6. Step 6: Final answer
    x = 113,386.82

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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.