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Finding the Fourth Proportional to 275,666, 380,390.72 and 154,806.31

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Solution

The fourth proportional to 275,666, 380,390.72 and 154,806.31 is: 213,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,666 : 380,390.72 = 154,806.31 : x
  2. Step 2: Convert to fraction form
    275,666/380,390.72 = 154,806.31/x
  3. Step 3: Cross multiply
    275,666x = 380,390.72 × 154,806.31
  4. Step 4: Simplify right side
    275,666x = 58,886,883,721.44
  5. Step 5: Solve for x
    x = 58,886,883,721.44/275,666
  6. Step 6: Final answer
    x = 213,616.78

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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.