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Finding the Fourth Proportional to 197,206.40, 295,469.40 and 91,809.20

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Solution

The fourth proportional to 197,206.40, 295,469.40 and 91,809.20 is: 137,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,206.40 : 295,469.40 = 91,809.20 : x
  2. Step 2: Convert to fraction form
    197,206.40/295,469.40 = 91,809.20/x
  3. Step 3: Cross multiply
    197,206.40x = 295,469.40 × 91,809.20
  4. Step 4: Simplify right side
    197,206.40x = 27,126,809,238.48
  5. Step 5: Solve for x
    x = 27,126,809,238.48/197,206.40
  6. Step 6: Final answer
    x = 137,555.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.