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Finding the Fourth Proportional to 282,149.98, 389,366.88 and 161,293.84

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Solution

The fourth proportional to 282,149.98, 389,366.88 and 161,293.84 is: 222,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,149.98 : 389,366.88 = 161,293.84 : x
  2. Step 2: Convert to fraction form
    282,149.98/389,366.88 = 161,293.84/x
  3. Step 3: Cross multiply
    282,149.98x = 389,366.88 × 161,293.84
  4. Step 4: Simplify right side
    282,149.98x = 62,802,479,244.02
  5. Step 5: Solve for x
    x = 62,802,479,244.02/282,149.98
  6. Step 6: Final answer
    x = 222,585.45

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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.