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Finding the Fourth Proportional to 275,824.37, 413,760.35 and 76,144.79

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Solution

The fourth proportional to 275,824.37, 413,760.35 and 76,144.79 is: 114,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,824.37 : 413,760.35 = 76,144.79 : x
  2. Step 2: Convert to fraction form
    275,824.37/413,760.35 = 76,144.79/x
  3. Step 3: Cross multiply
    275,824.37x = 413,760.35 × 76,144.79
  4. Step 4: Simplify right side
    275,824.37x = 31,505,696,185.84
  5. Step 5: Solve for x
    x = 31,505,696,185.84/275,824.37
  6. Step 6: Final answer
    x = 114,223.76

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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.