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Finding the Fourth Proportional to 123,268.90, 184,903.76 and 34,522.88

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Solution

The fourth proportional to 123,268.90, 184,903.76 and 34,522.88 is: 51,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,268.90 : 184,903.76 = 34,522.88 : x
  2. Step 2: Convert to fraction form
    123,268.90/184,903.76 = 34,522.88/x
  3. Step 3: Cross multiply
    123,268.90x = 184,903.76 × 34,522.88
  4. Step 4: Simplify right side
    123,268.90x = 6,383,410,318.03
  5. Step 5: Solve for x
    x = 6,383,410,318.03/123,268.90
  6. Step 6: Final answer
    x = 51,784.43

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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.