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Finding the Fourth Proportional to 144,103.36, 216,184 and 50,596.80

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Solution

The fourth proportional to 144,103.36, 216,184 and 50,596.80 is: 75,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,103.36 : 216,184 = 50,596.80 : x
  2. Step 2: Convert to fraction form
    144,103.36/216,184 = 50,596.80/x
  3. Step 3: Cross multiply
    144,103.36x = 216,184 × 50,596.80
  4. Step 4: Simplify right side
    144,103.36x = 10,938,218,611.20
  5. Step 5: Solve for x
    x = 10,938,218,611.20/144,103.36
  6. Step 6: Final answer
    x = 75,905.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.