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Finding the Fourth Proportional to 282,129.50, 389,338.74 and 161,273.43

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Solution

The fourth proportional to 282,129.50, 389,338.74 and 161,273.43 is: 222,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,129.50 : 389,338.74 = 161,273.43 : x
  2. Step 2: Convert to fraction form
    282,129.50/389,338.74 = 161,273.43/x
  3. Step 3: Cross multiply
    282,129.50x = 389,338.74 × 161,273.43
  4. Step 4: Simplify right side
    282,129.50x = 62,789,994,031.68
  5. Step 5: Solve for x
    x = 62,789,994,031.68/282,129.50
  6. Step 6: Final answer
    x = 222,557.35

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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.