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Finding the Fourth Proportional to 281,457.48, 422,188.38 and 81,791.40

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Solution

The fourth proportional to 281,457.48, 422,188.38 and 81,791.40 is: 122,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,457.48 : 422,188.38 = 81,791.40 : x
  2. Step 2: Convert to fraction form
    281,457.48/422,188.38 = 81,791.40/x
  3. Step 3: Cross multiply
    281,457.48x = 422,188.38 × 81,791.40
  4. Step 4: Simplify right side
    281,457.48x = 34,531,378,663.93
  5. Step 5: Solve for x
    x = 34,531,378,663.93/281,457.48
  6. Step 6: Final answer
    x = 122,687.73

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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.