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Finding the Fourth Proportional to 123,042.60, 184,563.90 and 105,327.90

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Solution

The fourth proportional to 123,042.60, 184,563.90 and 105,327.90 is: 157,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,042.60 : 184,563.90 = 105,327.90 : x
  2. Step 2: Convert to fraction form
    123,042.60/184,563.90 = 105,327.90/x
  3. Step 3: Cross multiply
    123,042.60x = 184,563.90 × 105,327.90
  4. Step 4: Simplify right side
    123,042.60x = 19,439,728,002.81
  5. Step 5: Solve for x
    x = 19,439,728,002.81/123,042.60
  6. Step 6: Final answer
    x = 157,991.85

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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.