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Finding the Fourth Proportional to 171,504, 257,273.82 and 46,845

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Solution

The fourth proportional to 171,504, 257,273.82 and 46,845 is: 70,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,504 : 257,273.82 = 46,845 : x
  2. Step 2: Convert to fraction form
    171,504/257,273.82 = 46,845/x
  3. Step 3: Cross multiply
    171,504x = 257,273.82 × 46,845
  4. Step 4: Simplify right side
    171,504x = 12,051,992,097.90
  5. Step 5: Solve for x
    x = 12,051,992,097.90/171,504
  6. Step 6: Final answer
    x = 70,272.37

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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.