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Finding the Fourth Proportional to 118,976.92, 164,192.74 and 65,264.20

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Solution

The fourth proportional to 118,976.92, 164,192.74 and 65,264.20 is: 90,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,976.92 : 164,192.74 = 65,264.20 : x
  2. Step 2: Convert to fraction form
    118,976.92/164,192.74 = 65,264.20/x
  3. Step 3: Cross multiply
    118,976.92x = 164,192.74 × 65,264.20
  4. Step 4: Simplify right side
    118,976.92x = 10,715,907,821.91
  5. Step 5: Solve for x
    x = 10,715,907,821.91/118,976.92
  6. Step 6: Final answer
    x = 90,067.11

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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.