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Finding the Fourth Proportional to 180,934.20, 271,401.30 and 114,449.40

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Solution

The fourth proportional to 180,934.20, 271,401.30 and 114,449.40 is: 171,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,934.20 : 271,401.30 = 114,449.40 : x
  2. Step 2: Convert to fraction form
    180,934.20/271,401.30 = 114,449.40/x
  3. Step 3: Cross multiply
    180,934.20x = 271,401.30 × 114,449.40
  4. Step 4: Simplify right side
    180,934.20x = 31,061,715,944.22
  5. Step 5: Solve for x
    x = 31,061,715,944.22/180,934.20
  6. Step 6: Final answer
    x = 171,674.10

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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.