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Finding the Fourth Proportional to 204,782.32, 282,601 and 114,144.12

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Solution

The fourth proportional to 204,782.32, 282,601 and 114,144.12 is: 157,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,782.32 : 282,601 = 114,144.12 : x
  2. Step 2: Convert to fraction form
    204,782.32/282,601 = 114,144.12/x
  3. Step 3: Cross multiply
    204,782.32x = 282,601 × 114,144.12
  4. Step 4: Simplify right side
    204,782.32x = 32,257,242,456.12
  5. Step 5: Solve for x
    x = 32,257,242,456.12/204,782.32
  6. Step 6: Final answer
    x = 157,519.67

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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.