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Finding the Fourth Proportional to 281,997.99, 422,898.44 and 113,474.59

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Solution

The fourth proportional to 281,997.99, 422,898.44 and 113,474.59 is: 170,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,997.99 : 422,898.44 = 113,474.59 : x
  2. Step 2: Convert to fraction form
    281,997.99/422,898.44 = 113,474.59/x
  3. Step 3: Cross multiply
    281,997.99x = 422,898.44 × 113,474.59
  4. Step 4: Simplify right side
    281,997.99x = 47,988,225,466.02
  5. Step 5: Solve for x
    x = 47,988,225,466.02/281,997.99
  6. Step 6: Final answer
    x = 170,172.23

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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.