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Finding the Fourth Proportional to 262,192.75, 361,825.47 and 147,469.57

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Solution

The fourth proportional to 262,192.75, 361,825.47 and 147,469.57 is: 203,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,192.75 : 361,825.47 = 147,469.57 : x
  2. Step 2: Convert to fraction form
    262,192.75/361,825.47 = 147,469.57/x
  3. Step 3: Cross multiply
    262,192.75x = 361,825.47 × 147,469.57
  4. Step 4: Simplify right side
    262,192.75x = 53,358,245,571.38
  5. Step 5: Solve for x
    x = 53,358,245,571.38/262,192.75
  6. Step 6: Final answer
    x = 203,507.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.