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Finding the Fourth Proportional to 206,086.59, 284,402.45 and 120,043.37

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Solution

The fourth proportional to 206,086.59, 284,402.45 and 120,043.37 is: 165,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,086.59 : 284,402.45 = 120,043.37 : x
  2. Step 2: Convert to fraction form
    206,086.59/284,402.45 = 120,043.37/x
  3. Step 3: Cross multiply
    206,086.59x = 284,402.45 × 120,043.37
  4. Step 4: Simplify right side
    206,086.59x = 34,140,628,114.42
  5. Step 5: Solve for x
    x = 34,140,628,114.42/206,086.59
  6. Step 6: Final answer
    x = 165,661.57

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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.