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Finding the Fourth Proportional to 180,687.12, 271,197.04 and 92,004

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Solution

The fourth proportional to 180,687.12, 271,197.04 and 92,004 is: 138,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,687.12 : 271,197.04 = 92,004 : x
  2. Step 2: Convert to fraction form
    180,687.12/271,197.04 = 92,004/x
  3. Step 3: Cross multiply
    180,687.12x = 271,197.04 × 92,004
  4. Step 4: Simplify right side
    180,687.12x = 24,951,212,468.16
  5. Step 5: Solve for x
    x = 24,951,212,468.16/180,687.12
  6. Step 6: Final answer
    x = 138,090.71

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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.