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Finding the Fourth Proportional to 100,676.94, 138,934.71 and 55,357.85

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Solution

The fourth proportional to 100,676.94, 138,934.71 and 55,357.85 is: 76,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,676.94 : 138,934.71 = 55,357.85 : x
  2. Step 2: Convert to fraction form
    100,676.94/138,934.71 = 55,357.85/x
  3. Step 3: Cross multiply
    100,676.94x = 138,934.71 × 55,357.85
  4. Step 4: Simplify right side
    100,676.94x = 7,691,126,021.73
  5. Step 5: Solve for x
    x = 7,691,126,021.73/100,676.94
  6. Step 6: Final answer
    x = 76,394.11

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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.