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Finding the Fourth Proportional to 284,273.88, 392,142.69 and 198,096.36

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Solution

The fourth proportional to 284,273.88, 392,142.69 and 198,096.36 is: 273,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,273.88 : 392,142.69 = 198,096.36 : x
  2. Step 2: Convert to fraction form
    284,273.88/392,142.69 = 198,096.36/x
  3. Step 3: Cross multiply
    284,273.88x = 392,142.69 × 198,096.36
  4. Step 4: Simplify right side
    284,273.88x = 77,682,039,489.61
  5. Step 5: Solve for x
    x = 77,682,039,489.61/284,273.88
  6. Step 6: Final answer
    x = 273,264.78

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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.