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Finding the Fourth Proportional to 137,965.62, 190,394.22 and 84,243.18

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Solution

The fourth proportional to 137,965.62, 190,394.22 and 84,243.18 is: 116,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,965.62 : 190,394.22 = 84,243.18 : x
  2. Step 2: Convert to fraction form
    137,965.62/190,394.22 = 84,243.18/x
  3. Step 3: Cross multiply
    137,965.62x = 190,394.22 × 84,243.18
  4. Step 4: Simplify right side
    137,965.62x = 16,039,414,546.42
  5. Step 5: Solve for x
    x = 16,039,414,546.42/137,965.62
  6. Step 6: Final answer
    x = 116,256.60

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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.