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Finding the Fourth Proportional to 144,996.96, 200,082.36 and 81,322.44

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Solution

The fourth proportional to 144,996.96, 200,082.36 and 81,322.44 is: 112,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,996.96 : 200,082.36 = 81,322.44 : x
  2. Step 2: Convert to fraction form
    144,996.96/200,082.36 = 81,322.44/x
  3. Step 3: Cross multiply
    144,996.96x = 200,082.36 × 81,322.44
  4. Step 4: Simplify right side
    144,996.96x = 16,271,185,716.16
  5. Step 5: Solve for x
    x = 16,271,185,716.16/144,996.96
  6. Step 6: Final answer
    x = 112,217.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.