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Finding the Fourth Proportional to 102,927.50, 142,022.79 and 60,494.21

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Solution

The fourth proportional to 102,927.50, 142,022.79 and 60,494.21 is: 83,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,927.50 : 142,022.79 = 60,494.21 : x
  2. Step 2: Convert to fraction form
    102,927.50/142,022.79 = 60,494.21/x
  3. Step 3: Cross multiply
    102,927.50x = 142,022.79 × 60,494.21
  4. Step 4: Simplify right side
    102,927.50x = 8,591,555,772.93
  5. Step 5: Solve for x
    x = 8,591,555,772.93/102,927.50
  6. Step 6: Final answer
    x = 83,471.92

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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.