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Finding the Fourth Proportional to 206,403.98, 284,836.38 and 114,522.41

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Solution

The fourth proportional to 206,403.98, 284,836.38 and 114,522.41 is: 158,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,403.98 : 284,836.38 = 114,522.41 : x
  2. Step 2: Convert to fraction form
    206,403.98/284,836.38 = 114,522.41/x
  3. Step 3: Cross multiply
    206,403.98x = 284,836.38 × 114,522.41
  4. Step 4: Simplify right side
    206,403.98x = 32,620,148,693.28
  5. Step 5: Solve for x
    x = 32,620,148,693.28/206,403.98
  6. Step 6: Final answer
    x = 158,040.31

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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.