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Finding the Fourth Proportional to 120,538.29, 166,359.75 and 74,612.66

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Solution

The fourth proportional to 120,538.29, 166,359.75 and 74,612.66 is: 102,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,538.29 : 166,359.75 = 74,612.66 : x
  2. Step 2: Convert to fraction form
    120,538.29/166,359.75 = 74,612.66/x
  3. Step 3: Cross multiply
    120,538.29x = 166,359.75 × 74,612.66
  4. Step 4: Simplify right side
    120,538.29x = 12,412,542,259.57
  5. Step 5: Solve for x
    x = 12,412,542,259.57/120,538.29
  6. Step 6: Final answer
    x = 102,975.93

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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.