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Finding the Fourth Proportional to 288,512.25, 398,139.57 and 161,188.80

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Solution

The fourth proportional to 288,512.25, 398,139.57 and 161,188.80 is: 222,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,512.25 : 398,139.57 = 161,188.80 : x
  2. Step 2: Convert to fraction form
    288,512.25/398,139.57 = 161,188.80/x
  3. Step 3: Cross multiply
    288,512.25x = 398,139.57 × 161,188.80
  4. Step 4: Simplify right side
    288,512.25x = 64,175,639,520.82
  5. Step 5: Solve for x
    x = 64,175,639,520.82/288,512.25
  6. Step 6: Final answer
    x = 222,436.45

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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.