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Finding the Fourth Proportional to 206,188.68, 284,513.78 and 121,274.76

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Solution

The fourth proportional to 206,188.68, 284,513.78 and 121,274.76 is: 167,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,188.68 : 284,513.78 = 121,274.76 : x
  2. Step 2: Convert to fraction form
    206,188.68/284,513.78 = 121,274.76/x
  3. Step 3: Cross multiply
    206,188.68x = 284,513.78 × 121,274.76
  4. Step 4: Simplify right side
    206,188.68x = 34,504,340,386.19
  5. Step 5: Solve for x
    x = 34,504,340,386.19/206,188.68
  6. Step 6: Final answer
    x = 167,343.52

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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.