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Finding the Fourth Proportional to 180,936.60, 271,275.30 and 75,701.40

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Solution

The fourth proportional to 180,936.60, 271,275.30 and 75,701.40 is: 113,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,936.60 : 271,275.30 = 75,701.40 : x
  2. Step 2: Convert to fraction form
    180,936.60/271,275.30 = 75,701.40/x
  3. Step 3: Cross multiply
    180,936.60x = 271,275.30 × 75,701.40
  4. Step 4: Simplify right side
    180,936.60x = 20,535,919,995.42
  5. Step 5: Solve for x
    x = 20,535,919,995.42/180,936.60
  6. Step 6: Final answer
    x = 113,497.88

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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.