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Finding the Fourth Proportional to 180,809.83, 271,183.76 and 47,691.39

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Solution

The fourth proportional to 180,809.83, 271,183.76 and 47,691.39 is: 71,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,809.83 : 271,183.76 = 47,691.39 : x
  2. Step 2: Convert to fraction form
    180,809.83/271,183.76 = 47,691.39/x
  3. Step 3: Cross multiply
    180,809.83x = 271,183.76 × 47,691.39
  4. Step 4: Simplify right side
    180,809.83x = 12,933,130,459.83
  5. Step 5: Solve for x
    x = 12,933,130,459.83/180,809.83
  6. Step 6: Final answer
    x = 71,528.91

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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.