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Finding the Fourth Proportional to 264,704.69, 397,056.03 and 75,165.06

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Solution

The fourth proportional to 264,704.69, 397,056.03 and 75,165.06 is: 112,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,704.69 : 397,056.03 = 75,165.06 : x
  2. Step 2: Convert to fraction form
    264,704.69/397,056.03 = 75,165.06/x
  3. Step 3: Cross multiply
    264,704.69x = 397,056.03 × 75,165.06
  4. Step 4: Simplify right side
    264,704.69x = 29,844,741,525.40
  5. Step 5: Solve for x
    x = 29,844,741,525.40/264,704.69
  6. Step 6: Final answer
    x = 112,747.31

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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.