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Finding the Fourth Proportional to 363,924.44, 545,984.92 and 111,198.00

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Solution

The fourth proportional to 363,924.44, 545,984.92 and 111,198.00 is: 166,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,924.44 : 545,984.92 = 111,198.00 : x
  2. Step 2: Convert to fraction form
    363,924.44/545,984.92 = 111,198.00/x
  3. Step 3: Cross multiply
    363,924.44x = 545,984.92 × 111,198.00
  4. Step 4: Simplify right side
    363,924.44x = 60,712,433,320.60
  5. Step 5: Solve for x
    x = 60,712,433,320.60/363,924.44
  6. Step 6: Final answer
    x = 166,827.03

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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.