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Finding the Fourth Proportional to 327,166.84, 490,750.32 and 102,527.20

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Solution

The fourth proportional to 327,166.84, 490,750.32 and 102,527.20 is: 153,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,166.84 : 490,750.32 = 102,527.20 : x
  2. Step 2: Convert to fraction form
    327,166.84/490,750.32 = 102,527.20/x
  3. Step 3: Cross multiply
    327,166.84x = 490,750.32 × 102,527.20
  4. Step 4: Simplify right side
    327,166.84x = 50,315,256,208.70
  5. Step 5: Solve for x
    x = 50,315,256,208.70/327,166.84
  6. Step 6: Final answer
    x = 153,790.82

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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.