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Finding the Fourth Proportional to 126,121.44, 189,201.60 and 42,996

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Solution

The fourth proportional to 126,121.44, 189,201.60 and 42,996 is: 64,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,121.44 : 189,201.60 = 42,996 : x
  2. Step 2: Convert to fraction form
    126,121.44/189,201.60 = 42,996/x
  3. Step 3: Cross multiply
    126,121.44x = 189,201.60 × 42,996
  4. Step 4: Simplify right side
    126,121.44x = 8,134,911,993.60
  5. Step 5: Solve for x
    x = 8,134,911,993.60/126,121.44
  6. Step 6: Final answer
    x = 64,500.63

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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.