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Finding the Fourth Proportional to 327,162.82, 490,744.30 and 102,523.20

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Solution

The fourth proportional to 327,162.82, 490,744.30 and 102,523.20 is: 153,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,162.82 : 490,744.30 = 102,523.20 : x
  2. Step 2: Convert to fraction form
    327,162.82/490,744.30 = 102,523.20/x
  3. Step 3: Cross multiply
    327,162.82x = 490,744.30 × 102,523.20
  4. Step 4: Simplify right side
    327,162.82x = 50,312,676,017.76
  5. Step 5: Solve for x
    x = 50,312,676,017.76/327,162.82
  6. Step 6: Final answer
    x = 153,784.82

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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.