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Finding the Fourth Proportional to 149,136.53, 205,817.27 and 85,478.44

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Solution

The fourth proportional to 149,136.53, 205,817.27 and 85,478.44 is: 117,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,136.53 : 205,817.27 = 85,478.44 : x
  2. Step 2: Convert to fraction form
    149,136.53/205,817.27 = 85,478.44/x
  3. Step 3: Cross multiply
    149,136.53x = 205,817.27 × 85,478.44
  4. Step 4: Simplify right side
    149,136.53x = 17,592,939,164.66
  5. Step 5: Solve for x
    x = 17,592,939,164.66/149,136.53
  6. Step 6: Final answer
    x = 117,965.32

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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.