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Finding the Fourth Proportional to 120,726.54, 166,610.40 and 69,741.42

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Solution

The fourth proportional to 120,726.54, 166,610.40 and 69,741.42 is: 96,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,726.54 : 166,610.40 = 69,741.42 : x
  2. Step 2: Convert to fraction form
    120,726.54/166,610.40 = 69,741.42/x
  3. Step 3: Cross multiply
    120,726.54x = 166,610.40 × 69,741.42
  4. Step 4: Simplify right side
    120,726.54x = 11,619,645,882.77
  5. Step 5: Solve for x
    x = 11,619,645,882.77/120,726.54
  6. Step 6: Final answer
    x = 96,247.65

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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.