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Finding the Fourth Proportional to 202,891.24, 279,989.70 and 113,467.24

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Solution

The fourth proportional to 202,891.24, 279,989.70 and 113,467.24 is: 156,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,891.24 : 279,989.70 = 113,467.24 : x
  2. Step 2: Convert to fraction form
    202,891.24/279,989.70 = 113,467.24/x
  3. Step 3: Cross multiply
    202,891.24x = 279,989.70 × 113,467.24
  4. Step 4: Simplify right side
    202,891.24x = 31,769,658,487.43
  5. Step 5: Solve for x
    x = 31,769,658,487.43/202,891.24
  6. Step 6: Final answer
    x = 156,584.67

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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.