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Finding the Fourth Proportional to 281,015.82, 421,354.89 and 129,022.68

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Solution

The fourth proportional to 281,015.82, 421,354.89 and 129,022.68 is: 193,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,015.82 : 421,354.89 = 129,022.68 : x
  2. Step 2: Convert to fraction form
    281,015.82/421,354.89 = 129,022.68/x
  3. Step 3: Cross multiply
    281,015.82x = 421,354.89 × 129,022.68
  4. Step 4: Simplify right side
    281,015.82x = 54,364,337,138.91
  5. Step 5: Solve for x
    x = 54,364,337,138.91/281,015.82
  6. Step 6: Final answer
    x = 193,456.50

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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.