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Finding the Fourth Proportional to 327,145.64, 490,717.71 and 102,523.19

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Solution

The fourth proportional to 327,145.64, 490,717.71 and 102,523.19 is: 153,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,145.64 : 490,717.71 = 102,523.19 : x
  2. Step 2: Convert to fraction form
    327,145.64/490,717.71 = 102,523.19/x
  3. Step 3: Cross multiply
    327,145.64x = 490,717.71 × 102,523.19
  4. Step 4: Simplify right side
    327,145.64x = 50,309,942,565.11
  5. Step 5: Solve for x
    x = 50,309,942,565.11/327,145.64
  6. Step 6: Final answer
    x = 153,784.54

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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.