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Finding the Fourth Proportional to 218,193.29, 327,286.64 and 98,165.48

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Solution

The fourth proportional to 218,193.29, 327,286.64 and 98,165.48 is: 147,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,193.29 : 327,286.64 = 98,165.48 : x
  2. Step 2: Convert to fraction form
    218,193.29/327,286.64 = 98,165.48/x
  3. Step 3: Cross multiply
    218,193.29x = 327,286.64 × 98,165.48
  4. Step 4: Simplify right side
    218,193.29x = 32,128,247,985.93
  5. Step 5: Solve for x
    x = 32,128,247,985.93/218,193.29
  6. Step 6: Final answer
    x = 147,246.73

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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.