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Finding the Fourth Proportional to 281,817.88, 422,603.94 and 106,591

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Solution

The fourth proportional to 281,817.88, 422,603.94 and 106,591 is: 159,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,817.88 : 422,603.94 = 106,591 : x
  2. Step 2: Convert to fraction form
    281,817.88/422,603.94 = 106,591/x
  3. Step 3: Cross multiply
    281,817.88x = 422,603.94 × 106,591
  4. Step 4: Simplify right side
    281,817.88x = 45,045,776,568.54
  5. Step 5: Solve for x
    x = 45,045,776,568.54/281,817.88
  6. Step 6: Final answer
    x = 159,840.02

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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.