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Finding the Fourth Proportional to 75,843.84, 113,189.05 and 67,436.60

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Solution

The fourth proportional to 75,843.84, 113,189.05 and 67,436.60 is: 100,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.84 : 113,189.05 = 67,436.60 : x
  2. Step 2: Convert to fraction form
    75,843.84/113,189.05 = 67,436.60/x
  3. Step 3: Cross multiply
    75,843.84x = 113,189.05 × 67,436.60
  4. Step 4: Simplify right side
    75,843.84x = 7,633,084,464.94
  5. Step 5: Solve for x
    x = 7,633,084,464.94/75,843.84
  6. Step 6: Final answer
    x = 100,642.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.