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Finding the Fourth Proportional to 171,578.25, 257,385.20 and 46,919.25

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Solution

The fourth proportional to 171,578.25, 257,385.20 and 46,919.25 is: 70,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,578.25 : 257,385.20 = 46,919.25 : x
  2. Step 2: Convert to fraction form
    171,578.25/257,385.20 = 46,919.25/x
  3. Step 3: Cross multiply
    171,578.25x = 257,385.20 × 46,919.25
  4. Step 4: Simplify right side
    171,578.25x = 12,076,320,310.50
  5. Step 5: Solve for x
    x = 12,076,320,310.50/171,578.25
  6. Step 6: Final answer
    x = 70,383.75

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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.