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Finding the Fourth Proportional to 223,422.90, 335,131.40 and 54,944.68

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Solution

The fourth proportional to 223,422.90, 335,131.40 and 54,944.68 is: 82,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,422.90 : 335,131.40 = 54,944.68 : x
  2. Step 2: Convert to fraction form
    223,422.90/335,131.40 = 54,944.68/x
  3. Step 3: Cross multiply
    223,422.90x = 335,131.40 × 54,944.68
  4. Step 4: Simplify right side
    223,422.90x = 18,413,687,530.95
  5. Step 5: Solve for x
    x = 18,413,687,530.95/223,422.90
  6. Step 6: Final answer
    x = 82,416.29

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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.