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Finding the Fourth Proportional to 264,761.80, 397,213.10 and 114,937.80

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Solution

The fourth proportional to 264,761.80, 397,213.10 and 114,937.80 is: 172,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,761.80 : 397,213.10 = 114,937.80 : x
  2. Step 2: Convert to fraction form
    264,761.80/397,213.10 = 114,937.80/x
  3. Step 3: Cross multiply
    264,761.80x = 397,213.10 × 114,937.80
  4. Step 4: Simplify right side
    264,761.80x = 45,654,799,845.18
  5. Step 5: Solve for x
    x = 45,654,799,845.18/264,761.80
  6. Step 6: Final answer
    x = 172,437.26

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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.