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Finding the Fourth Proportional to 275,701.35, 413,552.03 and 76,052.55

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Solution

The fourth proportional to 275,701.35, 413,552.03 and 76,052.55 is: 114,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,701.35 : 413,552.03 = 76,052.55 : x
  2. Step 2: Convert to fraction form
    275,701.35/413,552.03 = 76,052.55/x
  3. Step 3: Cross multiply
    275,701.35x = 413,552.03 × 76,052.55
  4. Step 4: Simplify right side
    275,701.35x = 31,451,686,058.91
  5. Step 5: Solve for x
    x = 31,451,686,058.91/275,701.35
  6. Step 6: Final answer
    x = 114,078.83

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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.