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Finding the Fourth Proportional to 215,853.80, 323,627.10 and 82,682.60

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Solution

The fourth proportional to 215,853.80, 323,627.10 and 82,682.60 is: 123,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,853.80 : 323,627.10 = 82,682.60 : x
  2. Step 2: Convert to fraction form
    215,853.80/323,627.10 = 82,682.60/x
  3. Step 3: Cross multiply
    215,853.80x = 323,627.10 × 82,682.60
  4. Step 4: Simplify right side
    215,853.80x = 26,758,330,058.46
  5. Step 5: Solve for x
    x = 26,758,330,058.46/215,853.80
  6. Step 6: Final answer
    x = 123,965.06

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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.