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Finding the Fourth Proportional to 123,518.88, 184,835.43 and 106,935.96

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Solution

The fourth proportional to 123,518.88, 184,835.43 and 106,935.96 is: 160,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,518.88 : 184,835.43 = 106,935.96 : x
  2. Step 2: Convert to fraction form
    123,518.88/184,835.43 = 106,935.96/x
  3. Step 3: Cross multiply
    123,518.88x = 184,835.43 × 106,935.96
  4. Step 4: Simplify right side
    123,518.88x = 19,765,554,149.06
  5. Step 5: Solve for x
    x = 19,765,554,149.06/123,518.88
  6. Step 6: Final answer
    x = 160,020.51

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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.