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Finding the Fourth Proportional to 147,861.96, 204,053.70 and 82,452.28

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Solution

The fourth proportional to 147,861.96, 204,053.70 and 82,452.28 is: 113,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,861.96 : 204,053.70 = 82,452.28 : x
  2. Step 2: Convert to fraction form
    147,861.96/204,053.70 = 82,452.28/x
  3. Step 3: Cross multiply
    147,861.96x = 204,053.70 × 82,452.28
  4. Step 4: Simplify right side
    147,861.96x = 16,824,692,807.44
  5. Step 5: Solve for x
    x = 16,824,692,807.44/147,861.96
  6. Step 6: Final answer
    x = 113,786.49

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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.