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Finding the Fourth Proportional to 230,108.94, 344,872.62 and 103,614.48

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Solution

The fourth proportional to 230,108.94, 344,872.62 and 103,614.48 is: 155,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,108.94 : 344,872.62 = 103,614.48 : x
  2. Step 2: Convert to fraction form
    230,108.94/344,872.62 = 103,614.48/x
  3. Step 3: Cross multiply
    230,108.94x = 344,872.62 × 103,614.48
  4. Step 4: Simplify right side
    230,108.94x = 35,733,797,187.54
  5. Step 5: Solve for x
    x = 35,733,797,187.54/230,108.94
  6. Step 6: Final answer
    x = 155,290.78

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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.