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Finding the Fourth Proportional to 190,692.54, 286,052.49 and 50,449.50

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Solution

The fourth proportional to 190,692.54, 286,052.49 and 50,449.50 is: 75,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,692.54 : 286,052.49 = 50,449.50 : x
  2. Step 2: Convert to fraction form
    190,692.54/286,052.49 = 50,449.50/x
  3. Step 3: Cross multiply
    190,692.54x = 286,052.49 × 50,449.50
  4. Step 4: Simplify right side
    190,692.54x = 14,431,205,094.26
  5. Step 5: Solve for x
    x = 14,431,205,094.26/190,692.54
  6. Step 6: Final answer
    x = 75,677.87

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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.