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Finding the Fourth Proportional to 105,204, 145,185.84 and 60,492

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Solution

The fourth proportional to 105,204, 145,185.84 and 60,492 is: 83,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,204 : 145,185.84 = 60,492 : x
  2. Step 2: Convert to fraction form
    105,204/145,185.84 = 60,492/x
  3. Step 3: Cross multiply
    105,204x = 145,185.84 × 60,492
  4. Step 4: Simplify right side
    105,204x = 8,782,581,833.28
  5. Step 5: Solve for x
    x = 8,782,581,833.28/105,204
  6. Step 6: Final answer
    x = 83,481.44

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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.