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Finding the Fourth Proportional to 180,818.50, 271,245.97 and 47,707.96

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Solution

The fourth proportional to 180,818.50, 271,245.97 and 47,707.96 is: 71,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,818.50 : 271,245.97 = 47,707.96 : x
  2. Step 2: Convert to fraction form
    180,818.50/271,245.97 = 47,707.96/x
  3. Step 3: Cross multiply
    180,818.50x = 271,245.97 × 47,707.96
  4. Step 4: Simplify right side
    180,818.50x = 12,940,590,292.15
  5. Step 5: Solve for x
    x = 12,940,590,292.15/180,818.50
  6. Step 6: Final answer
    x = 71,566.74

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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.