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Finding the Fourth Proportional to 142,649.42, 213,976.56 and 53,944.70

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Solution

The fourth proportional to 142,649.42, 213,976.56 and 53,944.70 is: 80,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,649.42 : 213,976.56 = 53,944.70 : x
  2. Step 2: Convert to fraction form
    142,649.42/213,976.56 = 53,944.70/x
  3. Step 3: Cross multiply
    142,649.42x = 213,976.56 × 53,944.70
  4. Step 4: Simplify right side
    142,649.42x = 11,542,901,336.23
  5. Step 5: Solve for x
    x = 11,542,901,336.23/142,649.42
  6. Step 6: Final answer
    x = 80,917.97

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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.