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Finding the Fourth Proportional to 171,429.60, 257,115.24 and 46,741.44

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Solution

The fourth proportional to 171,429.60, 257,115.24 and 46,741.44 is: 70,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,429.60 : 257,115.24 = 46,741.44 : x
  2. Step 2: Convert to fraction form
    171,429.60/257,115.24 = 46,741.44/x
  3. Step 3: Cross multiply
    171,429.60x = 257,115.24 × 46,741.44
  4. Step 4: Simplify right side
    171,429.60x = 12,017,936,563.55
  5. Step 5: Solve for x
    x = 12,017,936,563.55/171,429.60
  6. Step 6: Final answer
    x = 70,104.21

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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.