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Finding the Fourth Proportional to 171,896.38, 257,843.78 and 53,567.80

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Solution

The fourth proportional to 171,896.38, 257,843.78 and 53,567.80 is: 80,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,896.38 : 257,843.78 = 53,567.80 : x
  2. Step 2: Convert to fraction form
    171,896.38/257,843.78 = 53,567.80/x
  3. Step 3: Cross multiply
    171,896.38x = 257,843.78 × 53,567.80
  4. Step 4: Simplify right side
    171,896.38x = 13,812,124,038.28
  5. Step 5: Solve for x
    x = 13,812,124,038.28/171,896.38
  6. Step 6: Final answer
    x = 80,351.45

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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.