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Finding the Fourth Proportional to 171,423.80, 256,698.30 and 136,431.80

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Solution

The fourth proportional to 171,423.80, 256,698.30 and 136,431.80 is: 204,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,423.80 : 256,698.30 = 136,431.80 : x
  2. Step 2: Convert to fraction form
    171,423.80/256,698.30 = 136,431.80/x
  3. Step 3: Cross multiply
    171,423.80x = 256,698.30 × 136,431.80
  4. Step 4: Simplify right side
    171,423.80x = 35,021,811,125.94
  5. Step 5: Solve for x
    x = 35,021,811,125.94/171,423.80
  6. Step 6: Final answer
    x = 204,299.58

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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.