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Finding the Fourth Proportional to 270,214.60, 405,321.90 and 73,222.60

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Solution

The fourth proportional to 270,214.60, 405,321.90 and 73,222.60 is: 109,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,214.60 : 405,321.90 = 73,222.60 : x
  2. Step 2: Convert to fraction form
    270,214.60/405,321.90 = 73,222.60/x
  3. Step 3: Cross multiply
    270,214.60x = 405,321.90 × 73,222.60
  4. Step 4: Simplify right side
    270,214.60x = 29,678,723,354.94
  5. Step 5: Solve for x
    x = 29,678,723,354.94/270,214.60
  6. Step 6: Final answer
    x = 109,833.90

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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.