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Finding the Fourth Proportional to 234,594.57, 323,735.31 and 127,161.84

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Solution

The fourth proportional to 234,594.57, 323,735.31 and 127,161.84 is: 175,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,594.57 : 323,735.31 = 127,161.84 : x
  2. Step 2: Convert to fraction form
    234,594.57/323,735.31 = 127,161.84/x
  3. Step 3: Cross multiply
    234,594.57x = 323,735.31 × 127,161.84
  4. Step 4: Simplify right side
    234,594.57x = 41,166,777,692.57
  5. Step 5: Solve for x
    x = 41,166,777,692.57/234,594.57
  6. Step 6: Final answer
    x = 175,480.52

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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.