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Finding the Fourth Proportional to 180,758.30, 271,136.08 and 54,398

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Solution

The fourth proportional to 180,758.30, 271,136.08 and 54,398 is: 81,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,758.30 : 271,136.08 = 54,398 : x
  2. Step 2: Convert to fraction form
    180,758.30/271,136.08 = 54,398/x
  3. Step 3: Cross multiply
    180,758.30x = 271,136.08 × 54,398
  4. Step 4: Simplify right side
    180,758.30x = 14,749,260,479.84
  5. Step 5: Solve for x
    x = 14,749,260,479.84/180,758.30
  6. Step 6: Final answer
    x = 81,596.59

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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.