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Finding the Fourth Proportional to 100,677.94, 138,936.09 and 55,358.85

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Solution

The fourth proportional to 100,677.94, 138,936.09 and 55,358.85 is: 76,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,677.94 : 138,936.09 = 55,358.85 : x
  2. Step 2: Convert to fraction form
    100,677.94/138,936.09 = 55,358.85/x
  3. Step 3: Cross multiply
    100,677.94x = 138,936.09 × 55,358.85
  4. Step 4: Simplify right side
    100,677.94x = 7,691,342,165.90
  5. Step 5: Solve for x
    x = 7,691,342,165.90/100,677.94
  6. Step 6: Final answer
    x = 76,395.51

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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.