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Finding the Fourth Proportional to 294,243.96, 406,101.96 and 166,892.52

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Solution

The fourth proportional to 294,243.96, 406,101.96 and 166,892.52 is: 230,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,243.96 : 406,101.96 = 166,892.52 : x
  2. Step 2: Convert to fraction form
    294,243.96/406,101.96 = 166,892.52/x
  3. Step 3: Cross multiply
    294,243.96x = 406,101.96 × 166,892.52
  4. Step 4: Simplify right side
    294,243.96x = 67,775,379,481.34
  5. Step 5: Solve for x
    x = 67,775,379,481.34/294,243.96
  6. Step 6: Final answer
    x = 230,337.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.