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Finding the Fourth Proportional to 118,644.64, 177,982.62 and 43,817.38

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Solution

The fourth proportional to 118,644.64, 177,982.62 and 43,817.38 is: 65,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,644.64 : 177,982.62 = 43,817.38 : x
  2. Step 2: Convert to fraction form
    118,644.64/177,982.62 = 43,817.38/x
  3. Step 3: Cross multiply
    118,644.64x = 177,982.62 × 43,817.38
  4. Step 4: Simplify right side
    118,644.64x = 7,798,732,093.94
  5. Step 5: Solve for x
    x = 7,798,732,093.94/118,644.64
  6. Step 6: Final answer
    x = 65,731.85

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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.