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Finding the Fourth Proportional to 204,900.60, 282,761.61 and 114,257.67

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Solution

The fourth proportional to 204,900.60, 282,761.61 and 114,257.67 is: 157,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,900.60 : 282,761.61 = 114,257.67 : x
  2. Step 2: Convert to fraction form
    204,900.60/282,761.61 = 114,257.67/x
  3. Step 3: Cross multiply
    204,900.60x = 282,761.61 × 114,257.67
  4. Step 4: Simplify right side
    204,900.60x = 32,307,682,724.05
  5. Step 5: Solve for x
    x = 32,307,682,724.05/204,900.60
  6. Step 6: Final answer
    x = 157,674.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.