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Finding the Fourth Proportional to 209,554.74, 315,732.26 and 189,589.56

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Solution

The fourth proportional to 209,554.74, 315,732.26 and 189,589.56 is: 285,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,554.74 : 315,732.26 = 189,589.56 : x
  2. Step 2: Convert to fraction form
    209,554.74/315,732.26 = 189,589.56/x
  3. Step 3: Cross multiply
    209,554.74x = 315,732.26 × 189,589.56
  4. Step 4: Simplify right side
    209,554.74x = 59,859,541,464.82
  5. Step 5: Solve for x
    x = 59,859,541,464.82/209,554.74
  6. Step 6: Final answer
    x = 285,651.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.