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Finding the Fourth Proportional to 278,851.14, 384,932.43 and 188,329.84

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Solution

The fourth proportional to 278,851.14, 384,932.43 and 188,329.84 is: 259,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,851.14 : 384,932.43 = 188,329.84 : x
  2. Step 2: Convert to fraction form
    278,851.14/384,932.43 = 188,329.84/x
  3. Step 3: Cross multiply
    278,851.14x = 384,932.43 × 188,329.84
  4. Step 4: Simplify right side
    278,851.14x = 72,494,261,990.38
  5. Step 5: Solve for x
    x = 72,494,261,990.38/278,851.14
  6. Step 6: Final answer
    x = 259,974.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.