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Finding the Fourth Proportional to 218,828.82, 327,967.11 and 117,375.26

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Solution

The fourth proportional to 218,828.82, 327,967.11 and 117,375.26 is: 175,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,828.82 : 327,967.11 = 117,375.26 : x
  2. Step 2: Convert to fraction form
    218,828.82/327,967.11 = 117,375.26/x
  3. Step 3: Cross multiply
    218,828.82x = 327,967.11 × 117,375.26
  4. Step 4: Simplify right side
    218,828.82x = 38,495,223,167.86
  5. Step 5: Solve for x
    x = 38,495,223,167.86/218,828.82
  6. Step 6: Final answer
    x = 175,914.78

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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.