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Finding the Fourth Proportional to 119,408.38, 164,764.78 and 68,411.28

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Solution

The fourth proportional to 119,408.38, 164,764.78 and 68,411.28 is: 94,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,408.38 : 164,764.78 = 68,411.28 : x
  2. Step 2: Convert to fraction form
    119,408.38/164,764.78 = 68,411.28/x
  3. Step 3: Cross multiply
    119,408.38x = 164,764.78 × 68,411.28
  4. Step 4: Simplify right side
    119,408.38x = 11,271,770,330.37
  5. Step 5: Solve for x
    x = 11,271,770,330.37/119,408.38
  6. Step 6: Final answer
    x = 94,396.81

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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.