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Finding the Fourth Proportional to 205,481.82, 283,563.96 and 114,837.69

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Solution

The fourth proportional to 205,481.82, 283,563.96 and 114,837.69 is: 158,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,481.82 : 283,563.96 = 114,837.69 : x
  2. Step 2: Convert to fraction form
    205,481.82/283,563.96 = 114,837.69/x
  3. Step 3: Cross multiply
    205,481.82x = 283,563.96 × 114,837.69
  4. Step 4: Simplify right side
    205,481.82x = 32,563,830,766.38
  5. Step 5: Solve for x
    x = 32,563,830,766.38/205,481.82
  6. Step 6: Final answer
    x = 158,475.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.