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Finding the Fourth Proportional to 180,956.97, 271,435.46 and 123,974.69

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Solution

The fourth proportional to 180,956.97, 271,435.46 and 123,974.69 is: 185,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,956.97 : 271,435.46 = 123,974.69 : x
  2. Step 2: Convert to fraction form
    180,956.97/271,435.46 = 123,974.69/x
  3. Step 3: Cross multiply
    180,956.97x = 271,435.46 × 123,974.69
  4. Step 4: Simplify right side
    180,956.97x = 33,651,125,031.46
  5. Step 5: Solve for x
    x = 33,651,125,031.46/180,956.97
  6. Step 6: Final answer
    x = 185,962.03

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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.