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Finding the Fourth Proportional to 142,403.02, 196,487.72 and 78,728.50

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Solution

The fourth proportional to 142,403.02, 196,487.72 and 78,728.50 is: 108,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,403.02 : 196,487.72 = 78,728.50 : x
  2. Step 2: Convert to fraction form
    142,403.02/196,487.72 = 78,728.50/x
  3. Step 3: Cross multiply
    142,403.02x = 196,487.72 × 78,728.50
  4. Step 4: Simplify right side
    142,403.02x = 15,469,183,464.02
  5. Step 5: Solve for x
    x = 15,469,183,464.02/142,403.02
  6. Step 6: Final answer
    x = 108,629.60

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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.