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Finding the Fourth Proportional to 190,343.40, 285,529.68 and 50,100

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Solution

The fourth proportional to 190,343.40, 285,529.68 and 50,100 is: 75,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,343.40 : 285,529.68 = 50,100 : x
  2. Step 2: Convert to fraction form
    190,343.40/285,529.68 = 50,100/x
  3. Step 3: Cross multiply
    190,343.40x = 285,529.68 × 50,100
  4. Step 4: Simplify right side
    190,343.40x = 14,305,036,968
  5. Step 5: Solve for x
    x = 14,305,036,968/190,343.40
  6. Step 6: Final answer
    x = 75,153.84

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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.