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Finding the Fourth Proportional to 227,796.68, 314,359.44 and 127,194.68

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Solution

The fourth proportional to 227,796.68, 314,359.44 and 127,194.68 is: 175,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,796.68 : 314,359.44 = 127,194.68 : x
  2. Step 2: Convert to fraction form
    227,796.68/314,359.44 = 127,194.68/x
  3. Step 3: Cross multiply
    227,796.68x = 314,359.44 × 127,194.68
  4. Step 4: Simplify right side
    227,796.68x = 39,984,848,375.78
  5. Step 5: Solve for x
    x = 39,984,848,375.78/227,796.68
  6. Step 6: Final answer
    x = 175,528.67

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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.