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Finding the Fourth Proportional to 171,259.97, 256,914.54 and 52,940.52

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Solution

The fourth proportional to 171,259.97, 256,914.54 and 52,940.52 is: 79,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,259.97 : 256,914.54 = 52,940.52 : x
  2. Step 2: Convert to fraction form
    171,259.97/256,914.54 = 52,940.52/x
  3. Step 3: Cross multiply
    171,259.97x = 256,914.54 × 52,940.52
  4. Step 4: Simplify right side
    171,259.97x = 13,601,189,343.16
  5. Step 5: Solve for x
    x = 13,601,189,343.16/171,259.97
  6. Step 6: Final answer
    x = 79,418.38

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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.