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Finding the Fourth Proportional to 123,523.88, 184,842.92 and 106,940.96

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Solution

The fourth proportional to 123,523.88, 184,842.92 and 106,940.96 is: 160,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,523.88 : 184,842.92 = 106,940.96 : x
  2. Step 2: Convert to fraction form
    123,523.88/184,842.92 = 106,940.96/x
  3. Step 3: Cross multiply
    123,523.88x = 184,842.92 × 106,940.96
  4. Step 4: Simplify right side
    123,523.88x = 19,767,279,314.00
  5. Step 5: Solve for x
    x = 19,767,279,314.00/123,523.88
  6. Step 6: Final answer
    x = 160,028.00

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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.