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Finding the Fourth Proportional to 180,092.20, 269,904.48 and 73,351.66

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Solution

The fourth proportional to 180,092.20, 269,904.48 and 73,351.66 is: 109,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,092.20 : 269,904.48 = 73,351.66 : x
  2. Step 2: Convert to fraction form
    180,092.20/269,904.48 = 73,351.66/x
  3. Step 3: Cross multiply
    180,092.20x = 269,904.48 × 73,351.66
  4. Step 4: Simplify right side
    180,092.20x = 19,797,941,649.44
  5. Step 5: Solve for x
    x = 19,797,941,649.44/180,092.20
  6. Step 6: Final answer
    x = 109,932.25

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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.