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Finding the Fourth Proportional to 227,468.50, 313,906.56 and 126,866.50

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Solution

The fourth proportional to 227,468.50, 313,906.56 and 126,866.50 is: 175,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,468.50 : 313,906.56 = 126,866.50 : x
  2. Step 2: Convert to fraction form
    227,468.50/313,906.56 = 126,866.50/x
  3. Step 3: Cross multiply
    227,468.50x = 313,906.56 × 126,866.50
  4. Step 4: Simplify right side
    227,468.50x = 39,824,226,594.24
  5. Step 5: Solve for x
    x = 39,824,226,594.24/227,468.50
  6. Step 6: Final answer
    x = 175,075.79

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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.