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Finding the Fourth Proportional to 182,419.20, 273,601.44 and 57,744

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Solution

The fourth proportional to 182,419.20, 273,601.44 and 57,744 is: 86,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,419.20 : 273,601.44 = 57,744 : x
  2. Step 2: Convert to fraction form
    182,419.20/273,601.44 = 57,744/x
  3. Step 3: Cross multiply
    182,419.20x = 273,601.44 × 57,744
  4. Step 4: Simplify right side
    182,419.20x = 15,798,841,551.36
  5. Step 5: Solve for x
    x = 15,798,841,551.36/182,419.20
  6. Step 6: Final answer
    x = 86,607.34

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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.