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Finding the Fourth Proportional to 120,385.69, 166,131.90 and 69,398.12

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Solution

The fourth proportional to 120,385.69, 166,131.90 and 69,398.12 is: 95,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,385.69 : 166,131.90 = 69,398.12 : x
  2. Step 2: Convert to fraction form
    120,385.69/166,131.90 = 69,398.12/x
  3. Step 3: Cross multiply
    120,385.69x = 166,131.90 × 69,398.12
  4. Step 4: Simplify right side
    120,385.69x = 11,529,241,947.36
  5. Step 5: Solve for x
    x = 11,529,241,947.36/120,385.69
  6. Step 6: Final answer
    x = 95,769.21

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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.