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Finding the Fourth Proportional to 171,895.83, 257,843.70 and 53,576.70

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Solution

The fourth proportional to 171,895.83, 257,843.70 and 53,576.70 is: 80,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,895.83 : 257,843.70 = 53,576.70 : x
  2. Step 2: Convert to fraction form
    171,895.83/257,843.70 = 53,576.70/x
  3. Step 3: Cross multiply
    171,895.83x = 257,843.70 × 53,576.70
  4. Step 4: Simplify right side
    171,895.83x = 13,814,414,561.79
  5. Step 5: Solve for x
    x = 13,814,414,561.79/171,895.83
  6. Step 6: Final answer
    x = 80,365.04

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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.