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Finding the Fourth Proportional to 281,970.68, 389,083.45 and 161,119.83

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Solution

The fourth proportional to 281,970.68, 389,083.45 and 161,119.83 is: 222,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,970.68 : 389,083.45 = 161,119.83 : x
  2. Step 2: Convert to fraction form
    281,970.68/389,083.45 = 161,119.83/x
  3. Step 3: Cross multiply
    281,970.68x = 389,083.45 × 161,119.83
  4. Step 4: Simplify right side
    281,970.68x = 62,689,057,944.31
  5. Step 5: Solve for x
    x = 62,689,057,944.31/281,970.68
  6. Step 6: Final answer
    x = 222,324.74

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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.