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Finding the Fourth Proportional to 204,301.80, 305,883.90 and 104,245.80

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Solution

The fourth proportional to 204,301.80, 305,883.90 and 104,245.80 is: 156,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,301.80 : 305,883.90 = 104,245.80 : x
  2. Step 2: Convert to fraction form
    204,301.80/305,883.90 = 104,245.80/x
  3. Step 3: Cross multiply
    204,301.80x = 305,883.90 × 104,245.80
  4. Step 4: Simplify right side
    204,301.80x = 31,887,111,862.62
  5. Step 5: Solve for x
    x = 31,887,111,862.62/204,301.80
  6. Step 6: Final answer
    x = 156,078.47

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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.