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Finding the Fourth Proportional to 207,782.46, 311,657.02 and 92,412.67

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Solution

The fourth proportional to 207,782.46, 311,657.02 and 92,412.67 is: 138,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,782.46 : 311,657.02 = 92,412.67 : x
  2. Step 2: Convert to fraction form
    207,782.46/311,657.02 = 92,412.67/x
  3. Step 3: Cross multiply
    207,782.46x = 311,657.02 × 92,412.67
  4. Step 4: Simplify right side
    207,782.46x = 28,801,057,342.44
  5. Step 5: Solve for x
    x = 28,801,057,342.44/207,782.46
  6. Step 6: Final answer
    x = 138,611.59

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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.