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Finding the Fourth Proportional to 136,108.24, 187,786.02 and 82,376.08

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Solution

The fourth proportional to 136,108.24, 187,786.02 and 82,376.08 is: 113,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,108.24 : 187,786.02 = 82,376.08 : x
  2. Step 2: Convert to fraction form
    136,108.24/187,786.02 = 82,376.08/x
  3. Step 3: Cross multiply
    136,108.24x = 187,786.02 × 82,376.08
  4. Step 4: Simplify right side
    136,108.24x = 15,469,076,206.40
  5. Step 5: Solve for x
    x = 15,469,076,206.40/136,108.24
  6. Step 6: Final answer
    x = 113,652.75

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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.