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Finding the Fourth Proportional to 182,853.64, 274,181.84 and 82,959.32

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Solution

The fourth proportional to 182,853.64, 274,181.84 and 82,959.32 is: 124,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,853.64 : 274,181.84 = 82,959.32 : x
  2. Step 2: Convert to fraction form
    182,853.64/274,181.84 = 82,959.32/x
  3. Step 3: Cross multiply
    182,853.64x = 274,181.84 × 82,959.32
  4. Step 4: Simplify right side
    182,853.64x = 22,745,939,002.75
  5. Step 5: Solve for x
    x = 22,745,939,002.75/182,853.64
  6. Step 6: Final answer
    x = 124,394.24

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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.