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Finding the Fourth Proportional to 231,635.60, 347,971.80 and 222,189.20

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Solution

The fourth proportional to 231,635.60, 347,971.80 and 222,189.20 is: 333,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,635.60 : 347,971.80 = 222,189.20 : x
  2. Step 2: Convert to fraction form
    231,635.60/347,971.80 = 222,189.20/x
  3. Step 3: Cross multiply
    231,635.60x = 347,971.80 × 222,189.20
  4. Step 4: Simplify right side
    231,635.60x = 77,315,575,864.56
  5. Step 5: Solve for x
    x = 77,315,575,864.56/231,635.60
  6. Step 6: Final answer
    x = 333,781.06

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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.