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Finding the Fourth Proportional to 180,728.70, 271,093.05 and 117,743.10

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Solution

The fourth proportional to 180,728.70, 271,093.05 and 117,743.10 is: 176,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,728.70 : 271,093.05 = 117,743.10 : x
  2. Step 2: Convert to fraction form
    180,728.70/271,093.05 = 117,743.10/x
  3. Step 3: Cross multiply
    180,728.70x = 271,093.05 × 117,743.10
  4. Step 4: Simplify right side
    180,728.70x = 31,919,336,095.46
  5. Step 5: Solve for x
    x = 31,919,336,095.46/180,728.70
  6. Step 6: Final answer
    x = 176,614.65

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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.