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Finding the Fourth Proportional to 281,789.46, 422,748.99 and 92,255.94

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Solution

The fourth proportional to 281,789.46, 422,748.99 and 92,255.94 is: 138,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,789.46 : 422,748.99 = 92,255.94 : x
  2. Step 2: Convert to fraction form
    281,789.46/422,748.99 = 92,255.94/x
  3. Step 3: Cross multiply
    281,789.46x = 422,748.99 × 92,255.94
  4. Step 4: Simplify right side
    281,789.46x = 39,001,105,456.50
  5. Step 5: Solve for x
    x = 39,001,105,456.50/281,789.46
  6. Step 6: Final answer
    x = 138,405.13

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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.