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Finding the Fourth Proportional to 142,735.68, 213,945.12 and 72,469.44

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Solution

The fourth proportional to 142,735.68, 213,945.12 and 72,469.44 is: 108,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,735.68 : 213,945.12 = 72,469.44 : x
  2. Step 2: Convert to fraction form
    142,735.68/213,945.12 = 72,469.44/x
  3. Step 3: Cross multiply
    142,735.68x = 213,945.12 × 72,469.44
  4. Step 4: Simplify right side
    142,735.68x = 15,504,483,037.13
  5. Step 5: Solve for x
    x = 15,504,483,037.13/142,735.68
  6. Step 6: Final answer
    x = 108,623.74

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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.