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Finding the Fourth Proportional to 127,408.17, 191,102.49 and 38,662.14

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Solution

The fourth proportional to 127,408.17, 191,102.49 and 38,662.14 is: 57,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,408.17 : 191,102.49 = 38,662.14 : x
  2. Step 2: Convert to fraction form
    127,408.17/191,102.49 = 38,662.14/x
  3. Step 3: Cross multiply
    127,408.17x = 191,102.49 × 38,662.14
  4. Step 4: Simplify right side
    127,408.17x = 7,388,431,222.73
  5. Step 5: Solve for x
    x = 7,388,431,222.73/127,408.17
  6. Step 6: Final answer
    x = 57,990.25

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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.