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Finding the Fourth Proportional to 120,010.98, 165,635.37 and 69,739.14

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Solution

The fourth proportional to 120,010.98, 165,635.37 and 69,739.14 is: 96,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,010.98 : 165,635.37 = 69,739.14 : x
  2. Step 2: Convert to fraction form
    120,010.98/165,635.37 = 69,739.14/x
  3. Step 3: Cross multiply
    120,010.98x = 165,635.37 × 69,739.14
  4. Step 4: Simplify right side
    120,010.98x = 11,551,268,257.38
  5. Step 5: Solve for x
    x = 11,551,268,257.38/120,010.98
  6. Step 6: Final answer
    x = 96,251.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.