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Finding the Fourth Proportional to 204,906.98, 282,772.53 and 114,262.67

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Solution

The fourth proportional to 204,906.98, 282,772.53 and 114,262.67 is: 157,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.98 : 282,772.53 = 114,262.67 : x
  2. Step 2: Convert to fraction form
    204,906.98/282,772.53 = 114,262.67/x
  3. Step 3: Cross multiply
    204,906.98x = 282,772.53 × 114,262.67
  4. Step 4: Simplify right side
    204,906.98x = 32,310,342,866.59
  5. Step 5: Solve for x
    x = 32,310,342,866.59/204,906.98
  6. Step 6: Final answer
    x = 157,682.98

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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.