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Finding the Fourth Proportional to 232,940.96, 349,401.60 and 106,508

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Solution

The fourth proportional to 232,940.96, 349,401.60 and 106,508 is: 159,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,940.96 : 349,401.60 = 106,508 : x
  2. Step 2: Convert to fraction form
    232,940.96/349,401.60 = 106,508/x
  3. Step 3: Cross multiply
    232,940.96x = 349,401.60 × 106,508
  4. Step 4: Simplify right side
    232,940.96x = 37,214,065,612.80
  5. Step 5: Solve for x
    x = 37,214,065,612.80/232,940.96
  6. Step 6: Final answer
    x = 159,757.50

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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.