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Finding the Fourth Proportional to 206,468.88, 284,625.42 and 145,932.72

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Solution

The fourth proportional to 206,468.88, 284,625.42 and 145,932.72 is: 201,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,468.88 : 284,625.42 = 145,932.72 : x
  2. Step 2: Convert to fraction form
    206,468.88/284,625.42 = 145,932.72/x
  3. Step 3: Cross multiply
    206,468.88x = 284,625.42 × 145,932.72
  4. Step 4: Simplify right side
    206,468.88x = 41,536,161,721.74
  5. Step 5: Solve for x
    x = 41,536,161,721.74/206,468.88
  6. Step 6: Final answer
    x = 201,173.96

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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.