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Finding the Fourth Proportional to 177,478.78, 244,930.62 and 96,913.78

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Solution

The fourth proportional to 177,478.78, 244,930.62 and 96,913.78 is: 133,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,478.78 : 244,930.62 = 96,913.78 : x
  2. Step 2: Convert to fraction form
    177,478.78/244,930.62 = 96,913.78/x
  3. Step 3: Cross multiply
    177,478.78x = 244,930.62 × 96,913.78
  4. Step 4: Simplify right side
    177,478.78x = 23,737,152,221.94
  5. Step 5: Solve for x
    x = 23,737,152,221.94/177,478.78
  6. Step 6: Final answer
    x = 133,746.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.