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Finding the Fourth Proportional to 206,419.60, 284,885.40 and 121,544.56

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Solution

The fourth proportional to 206,419.60, 284,885.40 and 121,544.56 is: 167,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,419.60 : 284,885.40 = 121,544.56 : x
  2. Step 2: Convert to fraction form
    206,419.60/284,885.40 = 121,544.56/x
  3. Step 3: Cross multiply
    206,419.60x = 284,885.40 × 121,544.56
  4. Step 4: Simplify right side
    206,419.60x = 34,626,270,593.42
  5. Step 5: Solve for x
    x = 34,626,270,593.42/206,419.60
  6. Step 6: Final answer
    x = 167,747.01

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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.