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Finding the Fourth Proportional to 275,767.44, 413,675.00 and 76,087.86

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Solution

The fourth proportional to 275,767.44, 413,675.00 and 76,087.86 is: 114,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,767.44 : 413,675.00 = 76,087.86 : x
  2. Step 2: Convert to fraction form
    275,767.44/413,675.00 = 76,087.86/x
  3. Step 3: Cross multiply
    275,767.44x = 413,675.00 × 76,087.86
  4. Step 4: Simplify right side
    275,767.44x = 31,475,643,839.11
  5. Step 5: Solve for x
    x = 31,475,643,839.11/275,767.44
  6. Step 6: Final answer
    x = 114,138.36

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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.