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Finding the Fourth Proportional to 299,838.05, 413,736.51 and 192,553.40

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Solution

The fourth proportional to 299,838.05, 413,736.51 and 192,553.40 is: 265,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,838.05 : 413,736.51 = 192,553.40 : x
  2. Step 2: Convert to fraction form
    299,838.05/413,736.51 = 192,553.40/x
  3. Step 3: Cross multiply
    299,838.05x = 413,736.51 × 192,553.40
  4. Step 4: Simplify right side
    299,838.05x = 79,666,372,377.94
  5. Step 5: Solve for x
    x = 79,666,372,377.94/299,838.05
  6. Step 6: Final answer
    x = 265,698.00

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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.