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Finding the Fourth Proportional to 227,699.55, 341,092.48 and 209,097.90

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Solution

The fourth proportional to 227,699.55, 341,092.48 and 209,097.90 is: 313,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,699.55 : 341,092.48 = 209,097.90 : x
  2. Step 2: Convert to fraction form
    227,699.55/341,092.48 = 209,097.90/x
  3. Step 3: Cross multiply
    227,699.55x = 341,092.48 × 209,097.90
  4. Step 4: Simplify right side
    227,699.55x = 71,321,721,273.79
  5. Step 5: Solve for x
    x = 71,321,721,273.79/227,699.55
  6. Step 6: Final answer
    x = 313,227.33

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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.