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Finding the Fourth Proportional to 123,502.32, 184,991.04 and 70,781.04

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Solution

The fourth proportional to 123,502.32, 184,991.04 and 70,781.04 is: 106,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,502.32 : 184,991.04 = 70,781.04 : x
  2. Step 2: Convert to fraction form
    123,502.32/184,991.04 = 70,781.04/x
  3. Step 3: Cross multiply
    123,502.32x = 184,991.04 × 70,781.04
  4. Step 4: Simplify right side
    123,502.32x = 13,093,858,201.88
  5. Step 5: Solve for x
    x = 13,093,858,201.88/123,502.32
  6. Step 6: Final answer
    x = 106,021.15

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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.