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Finding the Fourth Proportional to 189,224.82, 261,128.34 and 103,183.59

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Solution

The fourth proportional to 189,224.82, 261,128.34 and 103,183.59 is: 142,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,224.82 : 261,128.34 = 103,183.59 : x
  2. Step 2: Convert to fraction form
    189,224.82/261,128.34 = 103,183.59/x
  3. Step 3: Cross multiply
    189,224.82x = 261,128.34 × 103,183.59
  4. Step 4: Simplify right side
    189,224.82x = 26,944,159,571.94
  5. Step 5: Solve for x
    x = 26,944,159,571.94/189,224.82
  6. Step 6: Final answer
    x = 142,392.31

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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.