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Finding the Fourth Proportional to 150,336.52, 207,461.91 and 82,352.86

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Solution

The fourth proportional to 150,336.52, 207,461.91 and 82,352.86 is: 113,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,336.52 : 207,461.91 = 82,352.86 : x
  2. Step 2: Convert to fraction form
    150,336.52/207,461.91 = 82,352.86/x
  3. Step 3: Cross multiply
    150,336.52x = 207,461.91 × 82,352.86
  4. Step 4: Simplify right side
    150,336.52x = 17,085,081,629.56
  5. Step 5: Solve for x
    x = 17,085,081,629.56/150,336.52
  6. Step 6: Final answer
    x = 113,645.58

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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.