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Finding the Fourth Proportional to 272,803.48, 408,760.26 and 167,399.80

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Solution

The fourth proportional to 272,803.48, 408,760.26 and 167,399.80 is: 250,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,803.48 : 408,760.26 = 167,399.80 : x
  2. Step 2: Convert to fraction form
    272,803.48/408,760.26 = 167,399.80/x
  3. Step 3: Cross multiply
    272,803.48x = 408,760.26 × 167,399.80
  4. Step 4: Simplify right side
    272,803.48x = 68,426,385,771.95
  5. Step 5: Solve for x
    x = 68,426,385,771.95/272,803.48
  6. Step 6: Final answer
    x = 250,826.66

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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.