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Finding the Fourth Proportional to 180,832.73, 271,260.36 and 47,713.11

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Solution

The fourth proportional to 180,832.73, 271,260.36 and 47,713.11 is: 71,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,832.73 : 271,260.36 = 47,713.11 : x
  2. Step 2: Convert to fraction form
    180,832.73/271,260.36 = 47,713.11/x
  3. Step 3: Cross multiply
    180,832.73x = 271,260.36 × 47,713.11
  4. Step 4: Simplify right side
    180,832.73x = 12,942,675,395.32
  5. Step 5: Solve for x
    x = 12,942,675,395.32/180,832.73
  6. Step 6: Final answer
    x = 71,572.64

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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.