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Finding the Fourth Proportional to 281,980.89, 389,128.32 and 159,471.63

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Solution

The fourth proportional to 281,980.89, 389,128.32 and 159,471.63 is: 220,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,980.89 : 389,128.32 = 159,471.63 : x
  2. Step 2: Convert to fraction form
    281,980.89/389,128.32 = 159,471.63/x
  3. Step 3: Cross multiply
    281,980.89x = 389,128.32 × 159,471.63
  4. Step 4: Simplify right side
    281,980.89x = 62,054,927,469.56
  5. Step 5: Solve for x
    x = 62,054,927,469.56/281,980.89
  6. Step 6: Final answer
    x = 220,067.85

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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.