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Finding the Fourth Proportional to 118,902.33, 178,379.82 and 40,014

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Solution

The fourth proportional to 118,902.33, 178,379.82 and 40,014 is: 60,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,902.33 : 178,379.82 = 40,014 : x
  2. Step 2: Convert to fraction form
    118,902.33/178,379.82 = 40,014/x
  3. Step 3: Cross multiply
    118,902.33x = 178,379.82 × 40,014
  4. Step 4: Simplify right side
    118,902.33x = 7,137,690,117.48
  5. Step 5: Solve for x
    x = 7,137,690,117.48/118,902.33
  6. Step 6: Final answer
    x = 60,029.86

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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.