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Finding the Fourth Proportional to 189,816.24, 261,947.24 and 103,777.04

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Solution

The fourth proportional to 189,816.24, 261,947.24 and 103,777.04 is: 143,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,816.24 : 261,947.24 = 103,777.04 : x
  2. Step 2: Convert to fraction form
    189,816.24/261,947.24 = 103,777.04/x
  3. Step 3: Cross multiply
    189,816.24x = 261,947.24 × 103,777.04
  4. Step 4: Simplify right side
    189,816.24x = 27,184,109,203.37
  5. Step 5: Solve for x
    x = 27,184,109,203.37/189,816.24
  6. Step 6: Final answer
    x = 143,212.77

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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.