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Finding the Fourth Proportional to 180,757.30, 271,134.58 and 54,397

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Solution

The fourth proportional to 180,757.30, 271,134.58 and 54,397 is: 81,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,757.30 : 271,134.58 = 54,397 : x
  2. Step 2: Convert to fraction form
    180,757.30/271,134.58 = 54,397/x
  3. Step 3: Cross multiply
    180,757.30x = 271,134.58 × 54,397
  4. Step 4: Simplify right side
    180,757.30x = 14,748,907,748.26
  5. Step 5: Solve for x
    x = 14,748,907,748.26/180,757.30
  6. Step 6: Final answer
    x = 81,595.09

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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.