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Finding the Fourth Proportional to 282,286.62, 423,107.78 and 113,698.98

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Solution

The fourth proportional to 282,286.62, 423,107.78 and 113,698.98 is: 170,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,286.62 : 423,107.78 = 113,698.98 : x
  2. Step 2: Convert to fraction form
    282,286.62/423,107.78 = 113,698.98/x
  3. Step 3: Cross multiply
    282,286.62x = 423,107.78 × 113,698.98
  4. Step 4: Simplify right side
    282,286.62x = 48,106,922,447.57
  5. Step 5: Solve for x
    x = 48,106,922,447.57/282,286.62
  6. Step 6: Final answer
    x = 170,418.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.