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Finding the Fourth Proportional to 208,161.50, 311,915.21 and 160,892.33

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Solution

The fourth proportional to 208,161.50, 311,915.21 and 160,892.33 is: 241,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,161.50 : 311,915.21 = 160,892.33 : x
  2. Step 2: Convert to fraction form
    208,161.50/311,915.21 = 160,892.33/x
  3. Step 3: Cross multiply
    208,161.50x = 311,915.21 × 160,892.33
  4. Step 4: Simplify right side
    208,161.50x = 50,184,762,535.30
  5. Step 5: Solve for x
    x = 50,184,762,535.30/208,161.50
  6. Step 6: Final answer
    x = 241,085.71

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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.