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Finding the Fourth Proportional to 230,563.43, 345,877.51 and 80,769.43

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Solution

The fourth proportional to 230,563.43, 345,877.51 and 80,769.43 is: 121,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,563.43 : 345,877.51 = 80,769.43 : x
  2. Step 2: Convert to fraction form
    230,563.43/345,877.51 = 80,769.43/x
  3. Step 3: Cross multiply
    230,563.43x = 345,877.51 × 80,769.43
  4. Step 4: Simplify right side
    230,563.43x = 27,936,329,332.52
  5. Step 5: Solve for x
    x = 27,936,329,332.52/230,563.43
  6. Step 6: Final answer
    x = 121,165.48

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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.