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Finding the Fourth Proportional to 275,784.14, 413,700.08 and 76,104.56

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Solution

The fourth proportional to 275,784.14, 413,700.08 and 76,104.56 is: 114,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,784.14 : 413,700.08 = 76,104.56 : x
  2. Step 2: Convert to fraction form
    275,784.14/413,700.08 = 76,104.56/x
  3. Step 3: Cross multiply
    275,784.14x = 413,700.08 × 76,104.56
  4. Step 4: Simplify right side
    275,784.14x = 31,484,463,214.09
  5. Step 5: Solve for x
    x = 31,484,463,214.09/275,784.14
  6. Step 6: Final answer
    x = 114,163.43

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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.