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Finding the Fourth Proportional to 227,562, 314,024.08 and 126,940.56

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Solution

The fourth proportional to 227,562, 314,024.08 and 126,940.56 is: 175,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,562 : 314,024.08 = 126,940.56 : x
  2. Step 2: Convert to fraction form
    227,562/314,024.08 = 126,940.56/x
  3. Step 3: Cross multiply
    227,562x = 314,024.08 × 126,940.56
  4. Step 4: Simplify right side
    227,562x = 39,862,392,568.68
  5. Step 5: Solve for x
    x = 39,862,392,568.68/227,562
  6. Step 6: Final answer
    x = 175,171.57

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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.