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Finding the Fourth Proportional to 327,158.81, 490,738.33 and 102,536.68

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Solution

The fourth proportional to 327,158.81, 490,738.33 and 102,536.68 is: 153,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,158.81 : 490,738.33 = 102,536.68 : x
  2. Step 2: Convert to fraction form
    327,158.81/490,738.33 = 102,536.68/x
  3. Step 3: Cross multiply
    327,158.81x = 490,738.33 × 102,536.68
  4. Step 4: Simplify right side
    327,158.81x = 50,318,676,909.59
  5. Step 5: Solve for x
    x = 50,318,676,909.59/327,158.81
  6. Step 6: Final answer
    x = 153,805.05

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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.