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Finding the Fourth Proportional to 137,839.20, 190,213.20 and 84,213.96

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Solution

The fourth proportional to 137,839.20, 190,213.20 and 84,213.96 is: 116,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,839.20 : 190,213.20 = 84,213.96 : x
  2. Step 2: Convert to fraction form
    137,839.20/190,213.20 = 84,213.96/x
  3. Step 3: Cross multiply
    137,839.20x = 190,213.20 × 84,213.96
  4. Step 4: Simplify right side
    137,839.20x = 16,018,606,816.27
  5. Step 5: Solve for x
    x = 16,018,606,816.27/137,839.20
  6. Step 6: Final answer
    x = 116,212.27

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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.