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Finding the Fourth Proportional to 218,249.48, 327,096.64 and 98,178.04

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Solution

The fourth proportional to 218,249.48, 327,096.64 and 98,178.04 is: 147,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,249.48 : 327,096.64 = 98,178.04 : x
  2. Step 2: Convert to fraction form
    218,249.48/327,096.64 = 98,178.04/x
  3. Step 3: Cross multiply
    218,249.48x = 327,096.64 × 98,178.04
  4. Step 4: Simplify right side
    218,249.48x = 32,113,707,005.79
  5. Step 5: Solve for x
    x = 32,113,707,005.79/218,249.48
  6. Step 6: Final answer
    x = 147,142.19

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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.