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Finding the Fourth Proportional to 140,843, 194,363.34 and 77,183.30

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Solution

The fourth proportional to 140,843, 194,363.34 and 77,183.30 is: 106,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,843 : 194,363.34 = 77,183.30 : x
  2. Step 2: Convert to fraction form
    140,843/194,363.34 = 77,183.30/x
  3. Step 3: Cross multiply
    140,843x = 194,363.34 × 77,183.30
  4. Step 4: Simplify right side
    140,843x = 15,001,603,980.22
  5. Step 5: Solve for x
    x = 15,001,603,980.22/140,843
  6. Step 6: Final answer
    x = 106,512.95

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