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Finding the Fourth Proportional to 299,836.53, 413,734.43 and 192,551.88

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Solution

The fourth proportional to 299,836.53, 413,734.43 and 192,551.88 is: 265,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,836.53 : 413,734.43 = 192,551.88 : x
  2. Step 2: Convert to fraction form
    299,836.53/413,734.43 = 192,551.88/x
  3. Step 3: Cross multiply
    299,836.53x = 413,734.43 × 192,551.88
  4. Step 4: Simplify right side
    299,836.53x = 79,665,341,354.47
  5. Step 5: Solve for x
    x = 79,665,341,354.47/299,836.53
  6. Step 6: Final answer
    x = 265,695.92

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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.