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Finding the Fourth Proportional to 282,257.80, 389,520.18 and 154,945

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Solution

The fourth proportional to 282,257.80, 389,520.18 and 154,945 is: 213,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,257.80 : 389,520.18 = 154,945 : x
  2. Step 2: Convert to fraction form
    282,257.80/389,520.18 = 154,945/x
  3. Step 3: Cross multiply
    282,257.80x = 389,520.18 × 154,945
  4. Step 4: Simplify right side
    282,257.80x = 60,354,204,290.10
  5. Step 5: Solve for x
    x = 60,354,204,290.10/282,257.80
  6. Step 6: Final answer
    x = 213,826.52

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