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Finding the Fourth Proportional to 264,689.83, 397,033.80 and 114,910.57

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Solution

The fourth proportional to 264,689.83, 397,033.80 and 114,910.57 is: 172,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,689.83 : 397,033.80 = 114,910.57 : x
  2. Step 2: Convert to fraction form
    264,689.83/397,033.80 = 114,910.57/x
  3. Step 3: Cross multiply
    264,689.83x = 397,033.80 × 114,910.57
  4. Step 4: Simplify right side
    264,689.83x = 45,623,380,267.27
  5. Step 5: Solve for x
    x = 45,623,380,267.27/264,689.83
  6. Step 6: Final answer
    x = 172,365.44

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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.