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Finding the Fourth Proportional to 234,912.96, 352,369.44 and 57,419.82

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Solution

The fourth proportional to 234,912.96, 352,369.44 and 57,419.82 is: 86,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,912.96 : 352,369.44 = 57,419.82 : x
  2. Step 2: Convert to fraction form
    234,912.96/352,369.44 = 57,419.82/x
  3. Step 3: Cross multiply
    234,912.96x = 352,369.44 × 57,419.82
  4. Step 4: Simplify right side
    234,912.96x = 20,232,989,818.30
  5. Step 5: Solve for x
    x = 20,232,989,818.30/234,912.96
  6. Step 6: Final answer
    x = 86,129.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.