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Finding the Fourth Proportional to 192,029.80, 287,958.30 and 73,661.80

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Solution

The fourth proportional to 192,029.80, 287,958.30 and 73,661.80 is: 110,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,029.80 : 287,958.30 = 73,661.80 : x
  2. Step 2: Convert to fraction form
    192,029.80/287,958.30 = 73,661.80/x
  3. Step 3: Cross multiply
    192,029.80x = 287,958.30 × 73,661.80
  4. Step 4: Simplify right side
    192,029.80x = 21,211,526,702.94
  5. Step 5: Solve for x
    x = 21,211,526,702.94/192,029.80
  6. Step 6: Final answer
    x = 110,459.56

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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.