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Finding the Fourth Proportional to 354,198.09, 531,174.10 and 117,485.41

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Solution

The fourth proportional to 354,198.09, 531,174.10 and 117,485.41 is: 176,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,198.09 : 531,174.10 = 117,485.41 : x
  2. Step 2: Convert to fraction form
    354,198.09/531,174.10 = 117,485.41/x
  3. Step 3: Cross multiply
    354,198.09x = 531,174.10 × 117,485.41
  4. Step 4: Simplify right side
    354,198.09x = 62,405,206,919.88
  5. Step 5: Solve for x
    x = 62,405,206,919.88/354,198.09
  6. Step 6: Final answer
    x = 176,187.31

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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.