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Finding the Fourth Proportional to 327,122.94, 490,683.81 and 102,500.58

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Solution

The fourth proportional to 327,122.94, 490,683.81 and 102,500.58 is: 153,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,122.94 : 490,683.81 = 102,500.58 : x
  2. Step 2: Convert to fraction form
    327,122.94/490,683.81 = 102,500.58/x
  3. Step 3: Cross multiply
    327,122.94x = 490,683.81 × 102,500.58
  4. Step 4: Simplify right side
    327,122.94x = 50,295,375,121.61
  5. Step 5: Solve for x
    x = 50,295,375,121.61/327,122.94
  6. Step 6: Final answer
    x = 153,750.68

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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.