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Finding the Fourth Proportional to 110,270.88, 152,109.54 and 80,021

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Solution

The fourth proportional to 110,270.88, 152,109.54 and 80,021 is: 110,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,270.88 : 152,109.54 = 80,021 : x
  2. Step 2: Convert to fraction form
    110,270.88/152,109.54 = 80,021/x
  3. Step 3: Cross multiply
    110,270.88x = 152,109.54 × 80,021
  4. Step 4: Simplify right side
    110,270.88x = 12,171,957,500.34
  5. Step 5: Solve for x
    x = 12,171,957,500.34/110,270.88
  6. Step 6: Final answer
    x = 110,382.34

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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.