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Finding the Fourth Proportional to 206,188.60, 284,560.26 and 115,559.92

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Solution

The fourth proportional to 206,188.60, 284,560.26 and 115,559.92 is: 159,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,188.60 : 284,560.26 = 115,559.92 : x
  2. Step 2: Convert to fraction form
    206,188.60/284,560.26 = 115,559.92/x
  3. Step 3: Cross multiply
    206,188.60x = 284,560.26 × 115,559.92
  4. Step 4: Simplify right side
    206,188.60x = 32,883,760,880.78
  5. Step 5: Solve for x
    x = 32,883,760,880.78/206,188.60
  6. Step 6: Final answer
    x = 159,483.89

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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.