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Finding the Fourth Proportional to 180,843.82, 271,271.88 and 72,771.84

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Solution

The fourth proportional to 180,843.82, 271,271.88 and 72,771.84 is: 109,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,843.82 : 271,271.88 = 72,771.84 : x
  2. Step 2: Convert to fraction form
    180,843.82/271,271.88 = 72,771.84/x
  3. Step 3: Cross multiply
    180,843.82x = 271,271.88 × 72,771.84
  4. Step 4: Simplify right side
    180,843.82x = 19,740,953,847.86
  5. Step 5: Solve for x
    x = 19,740,953,847.86/180,843.82
  6. Step 6: Final answer
    x = 109,160.23

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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.