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Finding the Fourth Proportional to 234,152.78, 351,244.86 and 82,331.67

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Solution

The fourth proportional to 234,152.78, 351,244.86 and 82,331.67 is: 123,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,152.78 : 351,244.86 = 82,331.67 : x
  2. Step 2: Convert to fraction form
    234,152.78/351,244.86 = 82,331.67/x
  3. Step 3: Cross multiply
    234,152.78x = 351,244.86 × 82,331.67
  4. Step 4: Simplify right side
    234,152.78x = 28,918,576,911.14
  5. Step 5: Solve for x
    x = 28,918,576,911.14/234,152.78
  6. Step 6: Final answer
    x = 123,503.03

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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.