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Finding the Fourth Proportional to 282,343.20, 389,522.49 and 161,419.52

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Solution

The fourth proportional to 282,343.20, 389,522.49 and 161,419.52 is: 222,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,343.20 : 389,522.49 = 161,419.52 : x
  2. Step 2: Convert to fraction form
    282,343.20/389,522.49 = 161,419.52/x
  3. Step 3: Cross multiply
    282,343.20x = 389,522.49 × 161,419.52
  4. Step 4: Simplify right side
    282,343.20x = 62,876,533,365.00
  5. Step 5: Solve for x
    x = 62,876,533,365.00/282,343.20
  6. Step 6: Final answer
    x = 222,695.41

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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.