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Finding the Fourth Proportional to 192,095.76, 264,999.42 and 120,449.64

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Solution

The fourth proportional to 192,095.76, 264,999.42 and 120,449.64 is: 166,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,095.76 : 264,999.42 = 120,449.64 : x
  2. Step 2: Convert to fraction form
    192,095.76/264,999.42 = 120,449.64/x
  3. Step 3: Cross multiply
    192,095.76x = 264,999.42 × 120,449.64
  4. Step 4: Simplify right side
    192,095.76x = 31,919,084,739.21
  5. Step 5: Solve for x
    x = 31,919,084,739.21/192,095.76
  6. Step 6: Final answer
    x = 166,162.36

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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.