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Finding the Fourth Proportional to 120,613.89, 166,338.23 and 75,296.07

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Solution

The fourth proportional to 120,613.89, 166,338.23 and 75,296.07 is: 103,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,613.89 : 166,338.23 = 75,296.07 : x
  2. Step 2: Convert to fraction form
    120,613.89/166,338.23 = 75,296.07/x
  3. Step 3: Cross multiply
    120,613.89x = 166,338.23 × 75,296.07
  4. Step 4: Simplify right side
    120,613.89x = 12,524,615,009.76
  5. Step 5: Solve for x
    x = 12,524,615,009.76/120,613.89
  6. Step 6: Final answer
    x = 103,840.57

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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.