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Finding the Fourth Proportional to 223,793.38, 308,834.92 and 123,191.38

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Solution

The fourth proportional to 223,793.38, 308,834.92 and 123,191.38 is: 170,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,793.38 : 308,834.92 = 123,191.38 : x
  2. Step 2: Convert to fraction form
    223,793.38/308,834.92 = 123,191.38/x
  3. Step 3: Cross multiply
    223,793.38x = 308,834.92 × 123,191.38
  4. Step 4: Simplify right side
    223,793.38x = 38,045,799,986.99
  5. Step 5: Solve for x
    x = 38,045,799,986.99/223,793.38
  6. Step 6: Final answer
    x = 170,004.14

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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.