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Finding the Fourth Proportional to 234,896.42, 324,153.56 and 138,111.21

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Solution

The fourth proportional to 234,896.42, 324,153.56 and 138,111.21 is: 190,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,896.42 : 324,153.56 = 138,111.21 : x
  2. Step 2: Convert to fraction form
    234,896.42/324,153.56 = 138,111.21/x
  3. Step 3: Cross multiply
    234,896.42x = 324,153.56 × 138,111.21
  4. Step 4: Simplify right side
    234,896.42x = 44,769,240,742.69
  5. Step 5: Solve for x
    x = 44,769,240,742.69/234,896.42
  6. Step 6: Final answer
    x = 190,591.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.