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Finding the Fourth Proportional to 363,769.38, 545,654.12 and 111,051.20

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Solution

The fourth proportional to 363,769.38, 545,654.12 and 111,051.20 is: 166,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,769.38 : 545,654.12 = 111,051.20 : x
  2. Step 2: Convert to fraction form
    363,769.38/545,654.12 = 111,051.20/x
  3. Step 3: Cross multiply
    363,769.38x = 545,654.12 × 111,051.20
  4. Step 4: Simplify right side
    363,769.38x = 60,595,545,619.82
  5. Step 5: Solve for x
    x = 60,595,545,619.82/363,769.38
  6. Step 6: Final answer
    x = 166,576.82

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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.