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Finding the Fourth Proportional to 234,471.36, 323,562.94 and 133,869.36

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Solution

The fourth proportional to 234,471.36, 323,562.94 and 133,869.36 is: 184,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,471.36 : 323,562.94 = 133,869.36 : x
  2. Step 2: Convert to fraction form
    234,471.36/323,562.94 = 133,869.36/x
  3. Step 3: Cross multiply
    234,471.36x = 323,562.94 × 133,869.36
  4. Step 4: Simplify right side
    234,471.36x = 43,315,163,697.52
  5. Step 5: Solve for x
    x = 43,315,163,697.52/234,471.36
  6. Step 6: Final answer
    x = 184,735.41

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Why These Related Problems?

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