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Finding the Fourth Proportional to 201,771.97, 278,378.67 and 130,199.56

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Solution

The fourth proportional to 201,771.97, 278,378.67 and 130,199.56 is: 179,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771.97 : 278,378.67 = 130,199.56 : x
  2. Step 2: Convert to fraction form
    201,771.97/278,378.67 = 130,199.56/x
  3. Step 3: Cross multiply
    201,771.97x = 278,378.67 × 130,199.56
  4. Step 4: Simplify right side
    201,771.97x = 36,244,780,347.39
  5. Step 5: Solve for x
    x = 36,244,780,347.39/201,771.97
  6. Step 6: Final answer
    x = 179,632.39

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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.