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Finding the Fourth Proportional to 281,626.98, 422,433.17 and 94,638.48

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Solution

The fourth proportional to 281,626.98, 422,433.17 and 94,638.48 is: 141,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,626.98 : 422,433.17 = 94,638.48 : x
  2. Step 2: Convert to fraction form
    281,626.98/422,433.17 = 94,638.48/x
  3. Step 3: Cross multiply
    281,626.98x = 422,433.17 × 94,638.48
  4. Step 4: Simplify right side
    281,626.98x = 39,978,433,110.38
  5. Step 5: Solve for x
    x = 39,978,433,110.38/281,626.98
  6. Step 6: Final answer
    x = 141,955.27

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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.