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Finding the Fourth Proportional to 233,908.88, 322,794.02 and 126,478.65

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Solution

The fourth proportional to 233,908.88, 322,794.02 and 126,478.65 is: 174,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,908.88 : 322,794.02 = 126,478.65 : x
  2. Step 2: Convert to fraction form
    233,908.88/322,794.02 = 126,478.65/x
  3. Step 3: Cross multiply
    233,908.88x = 322,794.02 × 126,478.65
  4. Step 4: Simplify right side
    233,908.88x = 40,826,553,128.28
  5. Step 5: Solve for x
    x = 40,826,553,128.28/233,908.88
  6. Step 6: Final answer
    x = 174,540.42

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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.