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Finding the Fourth Proportional to 206,187.68, 284,512.40 and 121,273.76

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Solution

The fourth proportional to 206,187.68, 284,512.40 and 121,273.76 is: 167,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,187.68 : 284,512.40 = 121,273.76 : x
  2. Step 2: Convert to fraction form
    206,187.68/284,512.40 = 121,273.76/x
  3. Step 3: Cross multiply
    206,187.68x = 284,512.40 × 121,273.76
  4. Step 4: Simplify right side
    206,187.68x = 34,503,888,514.62
  5. Step 5: Solve for x
    x = 34,503,888,514.62/206,187.68
  6. Step 6: Final answer
    x = 167,342.14

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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.