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Finding the Fourth Proportional to 140,499.06, 193,893.75 and 80,078.82

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Solution

The fourth proportional to 140,499.06, 193,893.75 and 80,078.82 is: 110,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,499.06 : 193,893.75 = 80,078.82 : x
  2. Step 2: Convert to fraction form
    140,499.06/193,893.75 = 80,078.82/x
  3. Step 3: Cross multiply
    140,499.06x = 193,893.75 × 80,078.82
  4. Step 4: Simplify right side
    140,499.06x = 15,526,782,705.38
  5. Step 5: Solve for x
    x = 15,526,782,705.38/140,499.06
  6. Step 6: Final answer
    x = 110,511.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.