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Finding the Fourth Proportional to 193,841.24, 290,642.80 and 75,374.50

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Solution

The fourth proportional to 193,841.24, 290,642.80 and 75,374.50 is: 113,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,841.24 : 290,642.80 = 75,374.50 : x
  2. Step 2: Convert to fraction form
    193,841.24/290,642.80 = 75,374.50/x
  3. Step 3: Cross multiply
    193,841.24x = 290,642.80 × 75,374.50
  4. Step 4: Simplify right side
    193,841.24x = 21,907,055,728.60
  5. Step 5: Solve for x
    x = 21,907,055,728.60/193,841.24
  6. Step 6: Final answer
    x = 113,015.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.