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Finding the Fourth Proportional to 177,213.84, 244,560.96 and 96,648

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Solution

The fourth proportional to 177,213.84, 244,560.96 and 96,648 is: 133,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,213.84 : 244,560.96 = 96,648 : x
  2. Step 2: Convert to fraction form
    177,213.84/244,560.96 = 96,648/x
  3. Step 3: Cross multiply
    177,213.84x = 244,560.96 × 96,648
  4. Step 4: Simplify right side
    177,213.84x = 23,636,327,662.08
  5. Step 5: Solve for x
    x = 23,636,327,662.08/177,213.84
  6. Step 6: Final answer
    x = 133,377.44

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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.