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Finding the Fourth Proportional to 270,126.94, 405,213.42 and 80,575.09

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Solution

The fourth proportional to 270,126.94, 405,213.42 and 80,575.09 is: 120,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,126.94 : 405,213.42 = 80,575.09 : x
  2. Step 2: Convert to fraction form
    270,126.94/405,213.42 = 80,575.09/x
  3. Step 3: Cross multiply
    270,126.94x = 405,213.42 × 80,575.09
  4. Step 4: Simplify right side
    270,126.94x = 32,650,107,785.71
  5. Step 5: Solve for x
    x = 32,650,107,785.71/270,126.94
  6. Step 6: Final answer
    x = 120,869.50

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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.