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Finding the Fourth Proportional to 120,662.15, 166,538 and 69,683.18

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Solution

The fourth proportional to 120,662.15, 166,538 and 69,683.18 is: 96,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,662.15 : 166,538 = 69,683.18 : x
  2. Step 2: Convert to fraction form
    120,662.15/166,538 = 69,683.18/x
  3. Step 3: Cross multiply
    120,662.15x = 166,538 × 69,683.18
  4. Step 4: Simplify right side
    120,662.15x = 11,604,897,430.84
  5. Step 5: Solve for x
    x = 11,604,897,430.84/120,662.15
  6. Step 6: Final answer
    x = 96,176.78

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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.