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Finding the Fourth Proportional to 127,885, 191,905.26 and 54,013

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Solution

The fourth proportional to 127,885, 191,905.26 and 54,013 is: 81,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,885 : 191,905.26 = 54,013 : x
  2. Step 2: Convert to fraction form
    127,885/191,905.26 = 54,013/x
  3. Step 3: Cross multiply
    127,885x = 191,905.26 × 54,013
  4. Step 4: Simplify right side
    127,885x = 10,365,378,808.38
  5. Step 5: Solve for x
    x = 10,365,378,808.38/127,885
  6. Step 6: Final answer
    x = 81,052.34

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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.