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Finding the Fourth Proportional to 218,398.60, 327,676.74 and 76,264.83

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Solution

The fourth proportional to 218,398.60, 327,676.74 and 76,264.83 is: 114,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,398.60 : 327,676.74 = 76,264.83 : x
  2. Step 2: Convert to fraction form
    218,398.60/327,676.74 = 76,264.83/x
  3. Step 3: Cross multiply
    218,398.60x = 327,676.74 × 76,264.83
  4. Step 4: Simplify right side
    218,398.60x = 24,990,210,871.05
  5. Step 5: Solve for x
    x = 24,990,210,871.05/218,398.60
  6. Step 6: Final answer
    x = 114,424.78

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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.