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Finding the Fourth Proportional to 100,224.84, 138,312.24 and 54,902.80

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Solution

The fourth proportional to 100,224.84, 138,312.24 and 54,902.80 is: 75,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224.84 : 138,312.24 = 54,902.80 : x
  2. Step 2: Convert to fraction form
    100,224.84/138,312.24 = 54,902.80/x
  3. Step 3: Cross multiply
    100,224.84x = 138,312.24 × 54,902.80
  4. Step 4: Simplify right side
    100,224.84x = 7,593,729,250.27
  5. Step 5: Solve for x
    x = 7,593,729,250.27/100,224.84
  6. Step 6: Final answer
    x = 75,766.94

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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.