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Finding the Fourth Proportional to 142,745.94, 196,997.66 and 78,215.30

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Solution

The fourth proportional to 142,745.94, 196,997.66 and 78,215.30 is: 107,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.94 : 196,997.66 = 78,215.30 : x
  2. Step 2: Convert to fraction form
    142,745.94/196,997.66 = 78,215.30/x
  3. Step 3: Cross multiply
    142,745.94x = 196,997.66 × 78,215.30
  4. Step 4: Simplify right side
    142,745.94x = 15,408,231,076.20
  5. Step 5: Solve for x
    x = 15,408,231,076.20/142,745.94
  6. Step 6: Final answer
    x = 107,941.64

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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.