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Finding the Fourth Proportional to 270,127.94, 405,214.92 and 80,576.09

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Solution

The fourth proportional to 270,127.94, 405,214.92 and 80,576.09 is: 120,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,127.94 : 405,214.92 = 80,576.09 : x
  2. Step 2: Convert to fraction form
    270,127.94/405,214.92 = 80,576.09/x
  3. Step 3: Cross multiply
    270,127.94x = 405,214.92 × 80,576.09
  4. Step 4: Simplify right side
    270,127.94x = 32,650,633,863.26
  5. Step 5: Solve for x
    x = 32,650,633,863.26/270,127.94
  6. Step 6: Final answer
    x = 120,871.00

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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.