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Finding the Fourth Proportional to 331,757.82, 497,619.45 and 107,114.04

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Solution

The fourth proportional to 331,757.82, 497,619.45 and 107,114.04 is: 160,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,757.82 : 497,619.45 = 107,114.04 : x
  2. Step 2: Convert to fraction form
    331,757.82/497,619.45 = 107,114.04/x
  3. Step 3: Cross multiply
    331,757.82x = 497,619.45 × 107,114.04
  4. Step 4: Simplify right side
    331,757.82x = 53,302,029,672.08
  5. Step 5: Solve for x
    x = 53,302,029,672.08/331,757.82
  6. Step 6: Final answer
    x = 160,665.48

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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.