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Finding the Fourth Proportional to 241,033.56, 361,433.70 and 83,206.68

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Solution

The fourth proportional to 241,033.56, 361,433.70 and 83,206.68 is: 124,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,033.56 : 361,433.70 = 83,206.68 : x
  2. Step 2: Convert to fraction form
    241,033.56/361,433.70 = 83,206.68/x
  3. Step 3: Cross multiply
    241,033.56x = 361,433.70 × 83,206.68
  4. Step 4: Simplify right side
    241,033.56x = 30,073,698,217.12
  5. Step 5: Solve for x
    x = 30,073,698,217.12/241,033.56
  6. Step 6: Final answer
    x = 124,769.75

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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.