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Finding the Fourth Proportional to 281,813.67, 422,772.33 and 92,284.59

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Solution

The fourth proportional to 281,813.67, 422,772.33 and 92,284.59 is: 138,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,813.67 : 422,772.33 = 92,284.59 : x
  2. Step 2: Convert to fraction form
    281,813.67/422,772.33 = 92,284.59/x
  3. Step 3: Cross multiply
    281,813.67x = 422,772.33 × 92,284.59
  4. Step 4: Simplify right side
    281,813.67x = 39,015,371,137.39
  5. Step 5: Solve for x
    x = 39,015,371,137.39/281,813.67
  6. Step 6: Final answer
    x = 138,443.86

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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.