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Finding the Fourth Proportional to 264,761.40, 397,338.98 and 106,991.22

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Solution

The fourth proportional to 264,761.40, 397,338.98 and 106,991.22 is: 160,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,761.40 : 397,338.98 = 106,991.22 : x
  2. Step 2: Convert to fraction form
    264,761.40/397,338.98 = 106,991.22/x
  3. Step 3: Cross multiply
    264,761.40x = 397,338.98 × 106,991.22
  4. Step 4: Simplify right side
    264,761.40x = 42,511,781,688.80
  5. Step 5: Solve for x
    x = 42,511,781,688.80/264,761.40
  6. Step 6: Final answer
    x = 160,566.39

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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.