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Finding the Fourth Proportional to 282,338.04, 389,515.36 and 161,414.34

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Solution

The fourth proportional to 282,338.04, 389,515.36 and 161,414.34 is: 222,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,338.04 : 389,515.36 = 161,414.34 : x
  2. Step 2: Convert to fraction form
    282,338.04/389,515.36 = 161,414.34/x
  3. Step 3: Cross multiply
    282,338.04x = 389,515.36 × 161,414.34
  4. Step 4: Simplify right side
    282,338.04x = 62,873,364,754.26
  5. Step 5: Solve for x
    x = 62,873,364,754.26/282,338.04
  6. Step 6: Final answer
    x = 222,688.25

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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.