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Finding the Fourth Proportional to 282,148.98, 389,365.50 and 161,292.84

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Solution

The fourth proportional to 282,148.98, 389,365.50 and 161,292.84 is: 222,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,148.98 : 389,365.50 = 161,292.84 : x
  2. Step 2: Convert to fraction form
    282,148.98/389,365.50 = 161,292.84/x
  3. Step 3: Cross multiply
    282,148.98x = 389,365.50 × 161,292.84
  4. Step 4: Simplify right side
    282,148.98x = 62,801,867,293.02
  5. Step 5: Solve for x
    x = 62,801,867,293.02/282,148.98
  6. Step 6: Final answer
    x = 222,584.07

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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.