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Finding the Fourth Proportional to 206,416.60, 284,881.26 and 121,541.56

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Solution

The fourth proportional to 206,416.60, 284,881.26 and 121,541.56 is: 167,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.60 : 284,881.26 = 121,541.56 : x
  2. Step 2: Convert to fraction form
    206,416.60/284,881.26 = 121,541.56/x
  3. Step 3: Cross multiply
    206,416.60x = 284,881.26 × 121,541.56
  4. Step 4: Simplify right side
    206,416.60x = 34,624,912,755.17
  5. Step 5: Solve for x
    x = 34,624,912,755.17/206,416.60
  6. Step 6: Final answer
    x = 167,742.87

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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.