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Finding the Fourth Proportional to 171,074.20, 256,611.30 and 46,415.20

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Solution

The fourth proportional to 171,074.20, 256,611.30 and 46,415.20 is: 69,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,074.20 : 256,611.30 = 46,415.20 : x
  2. Step 2: Convert to fraction form
    171,074.20/256,611.30 = 46,415.20/x
  3. Step 3: Cross multiply
    171,074.20x = 256,611.30 × 46,415.20
  4. Step 4: Simplify right side
    171,074.20x = 11,910,664,811.76
  5. Step 5: Solve for x
    x = 11,910,664,811.76/171,074.20
  6. Step 6: Final answer
    x = 69,622.80

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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.