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Finding the Fourth Proportional to 106,212.20, 159,318.30 and 101,546.60

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Solution

The fourth proportional to 106,212.20, 159,318.30 and 101,546.60 is: 152,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,212.20 : 159,318.30 = 101,546.60 : x
  2. Step 2: Convert to fraction form
    106,212.20/159,318.30 = 101,546.60/x
  3. Step 3: Cross multiply
    106,212.20x = 159,318.30 × 101,546.60
  4. Step 4: Simplify right side
    106,212.20x = 16,178,231,682.78
  5. Step 5: Solve for x
    x = 16,178,231,682.78/106,212.20
  6. Step 6: Final answer
    x = 152,319.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.