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Finding the Fourth Proportional to 135,796.44, 203,399.82 and 83,046

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Solution

The fourth proportional to 135,796.44, 203,399.82 and 83,046 is: 124,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,796.44 : 203,399.82 = 83,046 : x
  2. Step 2: Convert to fraction form
    135,796.44/203,399.82 = 83,046/x
  3. Step 3: Cross multiply
    135,796.44x = 203,399.82 × 83,046
  4. Step 4: Simplify right side
    135,796.44x = 16,891,541,451.72
  5. Step 5: Solve for x
    x = 16,891,541,451.72/135,796.44
  6. Step 6: Final answer
    x = 124,388.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.