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Finding the Fourth Proportional to 100,871.94, 139,198.24 and 55,553.84

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Solution

The fourth proportional to 100,871.94, 139,198.24 and 55,553.84 is: 76,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,871.94 : 139,198.24 = 55,553.84 : x
  2. Step 2: Convert to fraction form
    100,871.94/139,198.24 = 55,553.84/x
  3. Step 3: Cross multiply
    100,871.94x = 139,198.24 × 55,553.84
  4. Step 4: Simplify right side
    100,871.94x = 7,732,996,753.24
  5. Step 5: Solve for x
    x = 7,732,996,753.24/100,871.94
  6. Step 6: Final answer
    x = 76,661.53

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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.