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Finding the Fourth Proportional to 127,644.36, 191,466.44 and 57,441.66

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Solution

The fourth proportional to 127,644.36, 191,466.44 and 57,441.66 is: 86,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,644.36 : 191,466.44 = 57,441.66 : x
  2. Step 2: Convert to fraction form
    127,644.36/191,466.44 = 57,441.66/x
  3. Step 3: Cross multiply
    127,644.36x = 191,466.44 × 57,441.66
  4. Step 4: Simplify right side
    127,644.36x = 10,998,150,147.89
  5. Step 5: Solve for x
    x = 10,998,150,147.89/127,644.36
  6. Step 6: Final answer
    x = 86,162.44

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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.