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Finding the Fourth Proportional to 262,100.52, 393,206.67 and 149,834.52

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Solution

The fourth proportional to 262,100.52, 393,206.67 and 149,834.52 is: 224,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,100.52 : 393,206.67 = 149,834.52 : x
  2. Step 2: Convert to fraction form
    262,100.52/393,206.67 = 149,834.52/x
  3. Step 3: Cross multiply
    262,100.52x = 393,206.67 × 149,834.52
  4. Step 4: Simplify right side
    262,100.52x = 58,915,932,660.25
  5. Step 5: Solve for x
    x = 58,915,932,660.25/262,100.52
  6. Step 6: Final answer
    x = 224,783.73

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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.