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Finding the Fourth Proportional to 180,832.68, 271,267.25 and 47,722.14

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Solution

The fourth proportional to 180,832.68, 271,267.25 and 47,722.14 is: 71,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,832.68 : 271,267.25 = 47,722.14 : x
  2. Step 2: Convert to fraction form
    180,832.68/271,267.25 = 47,722.14/x
  3. Step 3: Cross multiply
    180,832.68x = 271,267.25 × 47,722.14
  4. Step 4: Simplify right side
    180,832.68x = 12,945,453,443.30
  5. Step 5: Solve for x
    x = 12,945,453,443.30/180,832.68
  6. Step 6: Final answer
    x = 71,588.02

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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.