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Finding the Fourth Proportional to 120,315.96, 166,053.60 and 69,318.72

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Solution

The fourth proportional to 120,315.96, 166,053.60 and 69,318.72 is: 95,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,315.96 : 166,053.60 = 69,318.72 : x
  2. Step 2: Convert to fraction form
    120,315.96/166,053.60 = 69,318.72/x
  3. Step 3: Cross multiply
    120,315.96x = 166,053.60 × 69,318.72
  4. Step 4: Simplify right side
    120,315.96x = 11,510,623,003.39
  5. Step 5: Solve for x
    x = 11,510,623,003.39/120,315.96
  6. Step 6: Final answer
    x = 95,669.96

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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.