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Finding the Fourth Proportional to 100,198.26, 138,273.76 and 54,257.76

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Solution

The fourth proportional to 100,198.26, 138,273.76 and 54,257.76 is: 74,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,198.26 : 138,273.76 = 54,257.76 : x
  2. Step 2: Convert to fraction form
    100,198.26/138,273.76 = 54,257.76/x
  3. Step 3: Cross multiply
    100,198.26x = 138,273.76 × 54,257.76
  4. Step 4: Simplify right side
    100,198.26x = 7,502,424,594.05
  5. Step 5: Solve for x
    x = 7,502,424,594.05/100,198.26
  6. Step 6: Final answer
    x = 74,875.80

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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.