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Finding the Fourth Proportional to 100,238.41, 138,323.07 and 54,907.39

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Solution

The fourth proportional to 100,238.41, 138,323.07 and 54,907.39 is: 75,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238.41 : 138,323.07 = 54,907.39 : x
  2. Step 2: Convert to fraction form
    100,238.41/138,323.07 = 54,907.39/x
  3. Step 3: Cross multiply
    100,238.41x = 138,323.07 × 54,907.39
  4. Step 4: Simplify right side
    100,238.41x = 7,594,958,750.49
  5. Step 5: Solve for x
    x = 7,594,958,750.49/100,238.41
  6. Step 6: Final answer
    x = 75,768.95

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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.