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Finding the Fourth Proportional to 222,613.48, 334,051.26 and 82,469.80

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Solution

The fourth proportional to 222,613.48, 334,051.26 and 82,469.80 is: 123,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,613.48 : 334,051.26 = 82,469.80 : x
  2. Step 2: Convert to fraction form
    222,613.48/334,051.26 = 82,469.80/x
  3. Step 3: Cross multiply
    222,613.48x = 334,051.26 × 82,469.80
  4. Step 4: Simplify right side
    222,613.48x = 27,549,140,601.95
  5. Step 5: Solve for x
    x = 27,549,140,601.95/222,613.48
  6. Step 6: Final answer
    x = 123,753.25

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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.