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Finding the Fourth Proportional to 274,923.30, 412,255.52 and 106,522.50

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Solution

The fourth proportional to 274,923.30, 412,255.52 and 106,522.50 is: 159,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,923.30 : 412,255.52 = 106,522.50 : x
  2. Step 2: Convert to fraction form
    274,923.30/412,255.52 = 106,522.50/x
  3. Step 3: Cross multiply
    274,923.30x = 412,255.52 × 106,522.50
  4. Step 4: Simplify right side
    274,923.30x = 43,914,488,629.20
  5. Step 5: Solve for x
    x = 43,914,488,629.20/274,923.30
  6. Step 6: Final answer
    x = 159,733.60

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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.