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Finding the Fourth Proportional to 325,793.94, 488,767.46 and 101,142.87

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Solution

The fourth proportional to 325,793.94, 488,767.46 and 101,142.87 is: 151,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,793.94 : 488,767.46 = 101,142.87 : x
  2. Step 2: Convert to fraction form
    325,793.94/488,767.46 = 101,142.87/x
  3. Step 3: Cross multiply
    325,793.94x = 488,767.46 × 101,142.87
  4. Step 4: Simplify right side
    325,793.94x = 49,435,343,161.30
  5. Step 5: Solve for x
    x = 49,435,343,161.30/325,793.94
  6. Step 6: Final answer
    x = 151,738.07

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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.