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Finding the Fourth Proportional to 200,367.86, 276,505.02 and 114,324.57

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Solution

The fourth proportional to 200,367.86, 276,505.02 and 114,324.57 is: 157,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,367.86 : 276,505.02 = 114,324.57 : x
  2. Step 2: Convert to fraction form
    200,367.86/276,505.02 = 114,324.57/x
  3. Step 3: Cross multiply
    200,367.86x = 276,505.02 × 114,324.57
  4. Step 4: Simplify right side
    200,367.86x = 31,611,317,514.34
  5. Step 5: Solve for x
    x = 31,611,317,514.34/200,367.86
  6. Step 6: Final answer
    x = 157,766.41

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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.