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Finding the Fourth Proportional to 299,833.53, 413,730.29 and 192,548.88

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Solution

The fourth proportional to 299,833.53, 413,730.29 and 192,548.88 is: 265,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,833.53 : 413,730.29 = 192,548.88 : x
  2. Step 2: Convert to fraction form
    299,833.53/413,730.29 = 192,548.88/x
  3. Step 3: Cross multiply
    299,833.53x = 413,730.29 × 192,548.88
  4. Step 4: Simplify right side
    299,833.53x = 79,663,302,998.83
  5. Step 5: Solve for x
    x = 79,663,302,998.83/299,833.53
  6. Step 6: Final answer
    x = 265,691.78

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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.