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Finding the Fourth Proportional to 141,408.36, 195,138.55 and 77,745.67

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Solution

The fourth proportional to 141,408.36, 195,138.55 and 77,745.67 is: 107,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,408.36 : 195,138.55 = 77,745.67 : x
  2. Step 2: Convert to fraction form
    141,408.36/195,138.55 = 77,745.67/x
  3. Step 3: Cross multiply
    141,408.36x = 195,138.55 × 77,745.67
  4. Step 4: Simplify right side
    141,408.36x = 15,171,176,921.91
  5. Step 5: Solve for x
    x = 15,171,176,921.91/141,408.36
  6. Step 6: Final answer
    x = 107,286.28

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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.