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Finding the Fourth Proportional to 218,066.20, 327,002.10 and 99,676.60

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Solution

The fourth proportional to 218,066.20, 327,002.10 and 99,676.60 is: 149,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,066.20 : 327,002.10 = 99,676.60 : x
  2. Step 2: Convert to fraction form
    218,066.20/327,002.10 = 99,676.60/x
  3. Step 3: Cross multiply
    218,066.20x = 327,002.10 × 99,676.60
  4. Step 4: Simplify right side
    218,066.20x = 32,594,457,520.86
  5. Step 5: Solve for x
    x = 32,594,457,520.86/218,066.20
  6. Step 6: Final answer
    x = 149,470.47

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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.