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Finding the Fourth Proportional to 122,956.25, 184,433.34 and 34,209.50

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Solution

The fourth proportional to 122,956.25, 184,433.34 and 34,209.50 is: 51,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,956.25 : 184,433.34 = 34,209.50 : x
  2. Step 2: Convert to fraction form
    122,956.25/184,433.34 = 34,209.50/x
  3. Step 3: Cross multiply
    122,956.25x = 184,433.34 × 34,209.50
  4. Step 4: Simplify right side
    122,956.25x = 6,309,371,422.56
  5. Step 5: Solve for x
    x = 6,309,371,422.56/122,956.25
  6. Step 6: Final answer
    x = 51,313.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.