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Finding the Fourth Proportional to 275,806.74, 413,733.86 and 76,127.16

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Solution

The fourth proportional to 275,806.74, 413,733.86 and 76,127.16 is: 114,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,806.74 : 413,733.86 = 76,127.16 : x
  2. Step 2: Convert to fraction form
    275,806.74/413,733.86 = 76,127.16/x
  3. Step 3: Cross multiply
    275,806.74x = 413,733.86 × 76,127.16
  4. Step 4: Simplify right side
    275,806.74x = 31,496,383,757.64
  5. Step 5: Solve for x
    x = 31,496,383,757.64/275,806.74
  6. Step 6: Final answer
    x = 114,197.30

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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.