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Finding the Fourth Proportional to 223,086.33, 334,580.30 and 65,327.09

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Solution

The fourth proportional to 223,086.33, 334,580.30 and 65,327.09 is: 97,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,086.33 : 334,580.30 = 65,327.09 : x
  2. Step 2: Convert to fraction form
    223,086.33/334,580.30 = 65,327.09/x
  3. Step 3: Cross multiply
    223,086.33x = 334,580.30 × 65,327.09
  4. Step 4: Simplify right side
    223,086.33x = 21,857,155,370.79
  5. Step 5: Solve for x
    x = 21,857,155,370.79/223,086.33
  6. Step 6: Final answer
    x = 97,976.22

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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.