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Finding the Fourth Proportional to 206,124.73, 284,387.56 and 115,468.45

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Solution

The fourth proportional to 206,124.73, 284,387.56 and 115,468.45 is: 159,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,124.73 : 284,387.56 = 115,468.45 : x
  2. Step 2: Convert to fraction form
    206,124.73/284,387.56 = 115,468.45/x
  3. Step 3: Cross multiply
    206,124.73x = 284,387.56 × 115,468.45
  4. Step 4: Simplify right side
    206,124.73x = 32,837,790,752.48
  5. Step 5: Solve for x
    x = 32,837,790,752.48/206,124.73
  6. Step 6: Final answer
    x = 159,310.29

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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.