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Finding the Fourth Proportional to 120,661.22, 166,403.48 and 75,343.34

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Solution

The fourth proportional to 120,661.22, 166,403.48 and 75,343.34 is: 103,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,661.22 : 166,403.48 = 75,343.34 : x
  2. Step 2: Convert to fraction form
    120,661.22/166,403.48 = 75,343.34/x
  3. Step 3: Cross multiply
    120,661.22x = 166,403.48 × 75,343.34
  4. Step 4: Simplify right side
    120,661.22x = 12,537,393,970.82
  5. Step 5: Solve for x
    x = 12,537,393,970.82/120,661.22
  6. Step 6: Final answer
    x = 103,905.75

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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.