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Finding the Fourth Proportional to 118,821.76, 178,234.92 and 43,903.24

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Solution

The fourth proportional to 118,821.76, 178,234.92 and 43,903.24 is: 65,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,821.76 : 178,234.92 = 43,903.24 : x
  2. Step 2: Convert to fraction form
    118,821.76/178,234.92 = 43,903.24/x
  3. Step 3: Cross multiply
    118,821.76x = 178,234.92 × 43,903.24
  4. Step 4: Simplify right side
    118,821.76x = 7,825,090,469.14
  5. Step 5: Solve for x
    x = 7,825,090,469.14/118,821.76
  6. Step 6: Final answer
    x = 65,855.70

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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.