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Finding the Fourth Proportional to 218,382.43, 327,652.46 and 76,248.64

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Solution

The fourth proportional to 218,382.43, 327,652.46 and 76,248.64 is: 114,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,382.43 : 327,652.46 = 76,248.64 : x
  2. Step 2: Convert to fraction form
    218,382.43/327,652.46 = 76,248.64/x
  3. Step 3: Cross multiply
    218,382.43x = 327,652.46 × 76,248.64
  4. Step 4: Simplify right side
    218,382.43x = 24,983,054,105.35
  5. Step 5: Solve for x
    x = 24,983,054,105.35/218,382.43
  6. Step 6: Final answer
    x = 114,400.48

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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.