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Finding the Fourth Proportional to 120,136.50, 165,785.63 and 66,421.96

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Solution

The fourth proportional to 120,136.50, 165,785.63 and 66,421.96 is: 91,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,136.50 : 165,785.63 = 66,421.96 : x
  2. Step 2: Convert to fraction form
    120,136.50/165,785.63 = 66,421.96/x
  3. Step 3: Cross multiply
    120,136.50x = 165,785.63 × 66,421.96
  4. Step 4: Simplify right side
    120,136.50x = 11,011,805,737.86
  5. Step 5: Solve for x
    x = 11,011,805,737.86/120,136.50
  6. Step 6: Final answer
    x = 91,660.78

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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.