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Finding the Fourth Proportional to 275,808.73, 413,682.12 and 76,157.50

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Solution

The fourth proportional to 275,808.73, 413,682.12 and 76,157.50 is: 114,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,808.73 : 413,682.12 = 76,157.50 : x
  2. Step 2: Convert to fraction form
    275,808.73/413,682.12 = 76,157.50/x
  3. Step 3: Cross multiply
    275,808.73x = 413,682.12 × 76,157.50
  4. Step 4: Simplify right side
    275,808.73x = 31,504,996,053.90
  5. Step 5: Solve for x
    x = 31,504,996,053.90/275,808.73
  6. Step 6: Final answer
    x = 114,227.70

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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.