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Finding the Fourth Proportional to 118,982.44, 164,197.95 and 65,270.20

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Solution

The fourth proportional to 118,982.44, 164,197.95 and 65,270.20 is: 90,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,982.44 : 164,197.95 = 65,270.20 : x
  2. Step 2: Convert to fraction form
    118,982.44/164,197.95 = 65,270.20/x
  3. Step 3: Cross multiply
    118,982.44x = 164,197.95 × 65,270.20
  4. Step 4: Simplify right side
    118,982.44x = 10,717,233,036.09
  5. Step 5: Solve for x
    x = 10,717,233,036.09/118,982.44
  6. Step 6: Final answer
    x = 90,074.07

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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.