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Finding the Fourth Proportional to 180,418.25, 248,975.61 and 99,843.70

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Solution

The fourth proportional to 180,418.25, 248,975.61 and 99,843.70 is: 137,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,418.25 : 248,975.61 = 99,843.70 : x
  2. Step 2: Convert to fraction form
    180,418.25/248,975.61 = 99,843.70/x
  3. Step 3: Cross multiply
    180,418.25x = 248,975.61 × 99,843.70
  4. Step 4: Simplify right side
    180,418.25x = 24,858,646,112.16
  5. Step 5: Solve for x
    x = 24,858,646,112.16/180,418.25
  6. Step 6: Final answer
    x = 137,783.43

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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.