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Finding the Fourth Proportional to 218,196.29, 327,291.13 and 98,168.48

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Solution

The fourth proportional to 218,196.29, 327,291.13 and 98,168.48 is: 147,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,196.29 : 327,291.13 = 98,168.48 : x
  2. Step 2: Convert to fraction form
    218,196.29/327,291.13 = 98,168.48/x
  3. Step 3: Cross multiply
    218,196.29x = 327,291.13 × 98,168.48
  4. Step 4: Simplify right side
    218,196.29x = 32,129,672,749.58
  5. Step 5: Solve for x
    x = 32,129,672,749.58/218,196.29
  6. Step 6: Final answer
    x = 147,251.23

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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.