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Finding the Fourth Proportional to 203,142.48, 304,629.48 and 76,760.88

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Solution

The fourth proportional to 203,142.48, 304,629.48 and 76,760.88 is: 115,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,142.48 : 304,629.48 = 76,760.88 : x
  2. Step 2: Convert to fraction form
    203,142.48/304,629.48 = 76,760.88/x
  3. Step 3: Cross multiply
    203,142.48x = 304,629.48 × 76,760.88
  4. Step 4: Simplify right side
    203,142.48x = 23,383,626,958.74
  5. Step 5: Solve for x
    x = 23,383,626,958.74/203,142.48
  6. Step 6: Final answer
    x = 115,109.49

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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.