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Finding the Fourth Proportional to 102,096, 140,892.48 and 57,384

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Solution

The fourth proportional to 102,096, 140,892.48 and 57,384 is: 79,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096 : 140,892.48 = 57,384 : x
  2. Step 2: Convert to fraction form
    102,096/140,892.48 = 57,384/x
  3. Step 3: Cross multiply
    102,096x = 140,892.48 × 57,384
  4. Step 4: Simplify right side
    102,096x = 8,084,974,072.32
  5. Step 5: Solve for x
    x = 8,084,974,072.32/102,096
  6. Step 6: Final answer
    x = 79,189.92

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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.