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Finding the Fourth Proportional to 161,198.48, 241,642.20 and 82,349.84

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Solution

The fourth proportional to 161,198.48, 241,642.20 and 82,349.84 is: 123,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,198.48 : 241,642.20 = 82,349.84 : x
  2. Step 2: Convert to fraction form
    161,198.48/241,642.20 = 82,349.84/x
  3. Step 3: Cross multiply
    161,198.48x = 241,642.20 × 82,349.84
  4. Step 4: Simplify right side
    161,198.48x = 19,899,196,507.25
  5. Step 5: Solve for x
    x = 19,899,196,507.25/161,198.48
  6. Step 6: Final answer
    x = 123,445.31

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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.