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Finding the Fourth Proportional to 275,757.63, 413,660.27 and 76,078.01

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Solution

The fourth proportional to 275,757.63, 413,660.27 and 76,078.01 is: 114,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,757.63 : 413,660.27 = 76,078.01 : x
  2. Step 2: Convert to fraction form
    275,757.63/413,660.27 = 76,078.01/x
  3. Step 3: Cross multiply
    275,757.63x = 413,660.27 × 76,078.01
  4. Step 4: Simplify right side
    275,757.63x = 31,470,450,811.42
  5. Step 5: Solve for x
    x = 31,470,450,811.42/275,757.63
  6. Step 6: Final answer
    x = 114,123.59

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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.