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Finding the Fourth Proportional to 234,529, 351,793.50 and 103,201

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Solution

The fourth proportional to 234,529, 351,793.50 and 103,201 is: 154,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,529 : 351,793.50 = 103,201 : x
  2. Step 2: Convert to fraction form
    234,529/351,793.50 = 103,201/x
  3. Step 3: Cross multiply
    234,529x = 351,793.50 × 103,201
  4. Step 4: Simplify right side
    234,529x = 36,305,440,993.50
  5. Step 5: Solve for x
    x = 36,305,440,993.50/234,529
  6. Step 6: Final answer
    x = 154,801.50

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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.