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Finding the Fourth Proportional to 206,116.61, 284,440.29 and 114,241.76

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Solution

The fourth proportional to 206,116.61, 284,440.29 and 114,241.76 is: 157,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,116.61 : 284,440.29 = 114,241.76 : x
  2. Step 2: Convert to fraction form
    206,116.61/284,440.29 = 114,241.76/x
  3. Step 3: Cross multiply
    206,116.61x = 284,440.29 × 114,241.76
  4. Step 4: Simplify right side
    206,116.61x = 32,494,957,922.31
  5. Step 5: Solve for x
    x = 32,494,957,922.31/206,116.61
  6. Step 6: Final answer
    x = 157,653.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.