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Finding the Fourth Proportional to 282,111.40, 389,288.58 and 161,228.68

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Solution

The fourth proportional to 282,111.40, 389,288.58 and 161,228.68 is: 222,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,111.40 : 389,288.58 = 161,228.68 : x
  2. Step 2: Convert to fraction form
    282,111.40/389,288.58 = 161,228.68/x
  3. Step 3: Cross multiply
    282,111.40x = 389,288.58 × 161,228.68
  4. Step 4: Simplify right side
    282,111.40x = 62,764,483,892.47
  5. Step 5: Solve for x
    x = 62,764,483,892.47/282,111.40
  6. Step 6: Final answer
    x = 222,481.20

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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.