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Finding the Fourth Proportional to 118,976.94, 164,190.36 and 65,264.70

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Solution

The fourth proportional to 118,976.94, 164,190.36 and 65,264.70 is: 90,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,976.94 : 164,190.36 = 65,264.70 : x
  2. Step 2: Convert to fraction form
    118,976.94/164,190.36 = 65,264.70/x
  3. Step 3: Cross multiply
    118,976.94x = 164,190.36 × 65,264.70
  4. Step 4: Simplify right side
    118,976.94x = 10,715,834,588.29
  5. Step 5: Solve for x
    x = 10,715,834,588.29/118,976.94
  6. Step 6: Final answer
    x = 90,066.48

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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.