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Finding the Fourth Proportional to 123,302.43, 184,964.31 and 43,333.56

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Solution

The fourth proportional to 123,302.43, 184,964.31 and 43,333.56 is: 65,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,302.43 : 184,964.31 = 43,333.56 : x
  2. Step 2: Convert to fraction form
    123,302.43/184,964.31 = 43,333.56/x
  3. Step 3: Cross multiply
    123,302.43x = 184,964.31 × 43,333.56
  4. Step 4: Simplify right side
    123,302.43x = 8,015,162,025.24
  5. Step 5: Solve for x
    x = 8,015,162,025.24/123,302.43
  6. Step 6: Final answer
    x = 65,004.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.