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Finding the Fourth Proportional to 180,825.94, 271,212.26 and 47,715.56

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Solution

The fourth proportional to 180,825.94, 271,212.26 and 47,715.56 is: 71,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,825.94 : 271,212.26 = 47,715.56 : x
  2. Step 2: Convert to fraction form
    180,825.94/271,212.26 = 47,715.56/x
  3. Step 3: Cross multiply
    180,825.94x = 271,212.26 × 47,715.56
  4. Step 4: Simplify right side
    180,825.94x = 12,941,043,859.89
  5. Step 5: Solve for x
    x = 12,941,043,859.89/180,825.94
  6. Step 6: Final answer
    x = 71,566.30

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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.