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Finding the Fourth Proportional to 138,968.96, 208,450.56 and 33,788.48

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Solution

The fourth proportional to 138,968.96, 208,450.56 and 33,788.48 is: 50,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,968.96 : 208,450.56 = 33,788.48 : x
  2. Step 2: Convert to fraction form
    138,968.96/208,450.56 = 33,788.48/x
  3. Step 3: Cross multiply
    138,968.96x = 208,450.56 × 33,788.48
  4. Step 4: Simplify right side
    138,968.96x = 7,043,227,577.55
  5. Step 5: Solve for x
    x = 7,043,227,577.55/138,968.96
  6. Step 6: Final answer
    x = 50,682.02

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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.