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Finding the Fourth Proportional to 255,751.43, 352,936.24 and 148,384.31

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Solution

The fourth proportional to 255,751.43, 352,936.24 and 148,384.31 is: 204,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,751.43 : 352,936.24 = 148,384.31 : x
  2. Step 2: Convert to fraction form
    255,751.43/352,936.24 = 148,384.31/x
  3. Step 3: Cross multiply
    255,751.43x = 352,936.24 × 148,384.31
  4. Step 4: Simplify right side
    255,751.43x = 52,370,198,310.75
  5. Step 5: Solve for x
    x = 52,370,198,310.75/255,751.43
  6. Step 6: Final answer
    x = 204,769.92

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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.