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Finding the Fourth Proportional to 171,694.48, 257,209.60 and 96,586.40

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Solution

The fourth proportional to 171,694.48, 257,209.60 and 96,586.40 is: 144,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,694.48 : 257,209.60 = 96,586.40 : x
  2. Step 2: Convert to fraction form
    171,694.48/257,209.60 = 96,586.40/x
  3. Step 3: Cross multiply
    171,694.48x = 257,209.60 × 96,586.40
  4. Step 4: Simplify right side
    171,694.48x = 24,842,949,309.44
  5. Step 5: Solve for x
    x = 24,842,949,309.44/171,694.48
  6. Step 6: Final answer
    x = 144,692.77

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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.