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Finding the Fourth Proportional to 264,995.29, 365,537.82 and 166,722.29

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Solution

The fourth proportional to 264,995.29, 365,537.82 and 166,722.29 is: 229,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,995.29 : 365,537.82 = 166,722.29 : x
  2. Step 2: Convert to fraction form
    264,995.29/365,537.82 = 166,722.29/x
  3. Step 3: Cross multiply
    264,995.29x = 365,537.82 × 166,722.29
  4. Step 4: Simplify right side
    264,995.29x = 60,943,300,604.32
  5. Step 5: Solve for x
    x = 60,943,300,604.32/264,995.29
  6. Step 6: Final answer
    x = 229,978.81

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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.