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Finding the Fourth Proportional to 264,693.54, 396,940.92 and 96,172.26

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Solution

The fourth proportional to 264,693.54, 396,940.92 and 96,172.26 is: 144,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,693.54 : 396,940.92 = 96,172.26 : x
  2. Step 2: Convert to fraction form
    264,693.54/396,940.92 = 96,172.26/x
  3. Step 3: Cross multiply
    264,693.54x = 396,940.92 × 96,172.26
  4. Step 4: Simplify right side
    264,693.54x = 38,174,705,362.88
  5. Step 5: Solve for x
    x = 38,174,705,362.88/264,693.54
  6. Step 6: Final answer
    x = 144,222.28

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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.