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Finding the Fourth Proportional to 322,776.09, 483,986.36 and 133,193.36

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Solution

The fourth proportional to 322,776.09, 483,986.36 and 133,193.36 is: 199,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,776.09 : 483,986.36 = 133,193.36 : x
  2. Step 2: Convert to fraction form
    322,776.09/483,986.36 = 133,193.36/x
  3. Step 3: Cross multiply
    322,776.09x = 483,986.36 × 133,193.36
  4. Step 4: Simplify right side
    322,776.09x = 64,463,771,025.52
  5. Step 5: Solve for x
    x = 64,463,771,025.52/322,776.09
  6. Step 6: Final answer
    x = 199,716.69

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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.