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Finding the Fourth Proportional to 242,805.20, 364,245.29 and 82,843.64

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Solution

The fourth proportional to 242,805.20, 364,245.29 and 82,843.64 is: 124,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,805.20 : 364,245.29 = 82,843.64 : x
  2. Step 2: Convert to fraction form
    242,805.20/364,245.29 = 82,843.64/x
  3. Step 3: Cross multiply
    242,805.20x = 364,245.29 × 82,843.64
  4. Step 4: Simplify right side
    242,805.20x = 30,175,405,676.46
  5. Step 5: Solve for x
    x = 30,175,405,676.46/242,805.20
  6. Step 6: Final answer
    x = 124,278.25

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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.