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Finding the Fourth Proportional to 161,067.16, 241,418.44 and 82,014.40

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Solution

The fourth proportional to 161,067.16, 241,418.44 and 82,014.40 is: 122,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,067.16 : 241,418.44 = 82,014.40 : x
  2. Step 2: Convert to fraction form
    161,067.16/241,418.44 = 82,014.40/x
  3. Step 3: Cross multiply
    161,067.16x = 241,418.44 × 82,014.40
  4. Step 4: Simplify right side
    161,067.16x = 19,799,788,505.54
  5. Step 5: Solve for x
    x = 19,799,788,505.54/161,067.16
  6. Step 6: Final answer
    x = 122,928.77

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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.