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Finding the Fourth Proportional to 382,022.82, 573,148.82 and 154,201.21

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Solution

The fourth proportional to 382,022.82, 573,148.82 and 154,201.21 is: 231,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.82 : 573,148.82 = 154,201.21 : x
  2. Step 2: Convert to fraction form
    382,022.82/573,148.82 = 154,201.21/x
  3. Step 3: Cross multiply
    382,022.82x = 573,148.82 × 154,201.21
  4. Step 4: Simplify right side
    382,022.82x = 88,380,241,554.07
  5. Step 5: Solve for x
    x = 88,380,241,554.07/382,022.82
  6. Step 6: Final answer
    x = 231,348.07

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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.