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Finding the Fourth Proportional to 180,850.85, 271,310.30 and 72,788.48

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Solution

The fourth proportional to 180,850.85, 271,310.30 and 72,788.48 is: 109,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,850.85 : 271,310.30 = 72,788.48 : x
  2. Step 2: Convert to fraction form
    180,850.85/271,310.30 = 72,788.48/x
  3. Step 3: Cross multiply
    180,850.85x = 271,310.30 × 72,788.48
  4. Step 4: Simplify right side
    180,850.85x = 19,748,264,345.34
  5. Step 5: Solve for x
    x = 19,748,264,345.34/180,850.85
  6. Step 6: Final answer
    x = 109,196.41

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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.