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Finding the Fourth Proportional to 100,137.62, 138,180.46 and 59,843.36

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Solution

The fourth proportional to 100,137.62, 138,180.46 and 59,843.36 is: 82,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,137.62 : 138,180.46 = 59,843.36 : x
  2. Step 2: Convert to fraction form
    100,137.62/138,180.46 = 59,843.36/x
  3. Step 3: Cross multiply
    100,137.62x = 138,180.46 × 59,843.36
  4. Step 4: Simplify right side
    100,137.62x = 8,269,182,172.23
  5. Step 5: Solve for x
    x = 8,269,182,172.23/100,137.62
  6. Step 6: Final answer
    x = 82,578.18

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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.