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Finding the Fourth Proportional to 283,893.10, 391,781.23 and 163,058.62

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Solution

The fourth proportional to 283,893.10, 391,781.23 and 163,058.62 is: 225,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,893.10 : 391,781.23 = 163,058.62 : x
  2. Step 2: Convert to fraction form
    283,893.10/391,781.23 = 163,058.62/x
  3. Step 3: Cross multiply
    283,893.10x = 391,781.23 × 163,058.62
  4. Step 4: Simplify right side
    283,893.10x = 63,883,306,511.80
  5. Step 5: Solve for x
    x = 63,883,306,511.80/283,893.10
  6. Step 6: Final answer
    x = 225,025.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.