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Finding the Fourth Proportional to 146,193.44, 201,745.35 and 82,533.92

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Solution

The fourth proportional to 146,193.44, 201,745.35 and 82,533.92 is: 113,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,193.44 : 201,745.35 = 82,533.92 : x
  2. Step 2: Convert to fraction form
    146,193.44/201,745.35 = 82,533.92/x
  3. Step 3: Cross multiply
    146,193.44x = 201,745.35 × 82,533.92
  4. Step 4: Simplify right side
    146,193.44x = 16,650,833,568.55
  5. Step 5: Solve for x
    x = 16,650,833,568.55/146,193.44
  6. Step 6: Final answer
    x = 113,895.90

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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.