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Finding the Fourth Proportional to 227,759.70, 314,346.84 and 132,321.75

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Solution

The fourth proportional to 227,759.70, 314,346.84 and 132,321.75 is: 182,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,759.70 : 314,346.84 = 132,321.75 : x
  2. Step 2: Convert to fraction form
    227,759.70/314,346.84 = 132,321.75/x
  3. Step 3: Cross multiply
    227,759.70x = 314,346.84 × 132,321.75
  4. Step 4: Simplify right side
    227,759.70x = 41,594,923,975.77
  5. Step 5: Solve for x
    x = 41,594,923,975.77/227,759.70
  6. Step 6: Final answer
    x = 182,626.36

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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.