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Finding the Fourth Proportional to 139,408.30, 192,398.82 and 78,160.30

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Solution

The fourth proportional to 139,408.30, 192,398.82 and 78,160.30 is: 107,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,408.30 : 192,398.82 = 78,160.30 : x
  2. Step 2: Convert to fraction form
    139,408.30/192,398.82 = 78,160.30/x
  3. Step 3: Cross multiply
    139,408.30x = 192,398.82 × 78,160.30
  4. Step 4: Simplify right side
    139,408.30x = 15,037,949,490.85
  5. Step 5: Solve for x
    x = 15,037,949,490.85/139,408.30
  6. Step 6: Final answer
    x = 107,869.83

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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.