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Finding the Fourth Proportional to 227,542.75, 314,009.13 and 126,940.75

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Solution

The fourth proportional to 227,542.75, 314,009.13 and 126,940.75 is: 175,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,542.75 : 314,009.13 = 126,940.75 : x
  2. Step 2: Convert to fraction form
    227,542.75/314,009.13 = 126,940.75/x
  3. Step 3: Cross multiply
    227,542.75x = 314,009.13 × 126,940.75
  4. Step 4: Simplify right side
    227,542.75x = 39,860,554,469.05
  5. Step 5: Solve for x
    x = 39,860,554,469.05/227,542.75
  6. Step 6: Final answer
    x = 175,178.31

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1.5x scale

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.