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Finding the Fourth Proportional to 190,692.04, 286,051.74 and 50,449

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Solution

The fourth proportional to 190,692.04, 286,051.74 and 50,449 is: 75,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,692.04 : 286,051.74 = 50,449 : x
  2. Step 2: Convert to fraction form
    190,692.04/286,051.74 = 50,449/x
  3. Step 3: Cross multiply
    190,692.04x = 286,051.74 × 50,449
  4. Step 4: Simplify right side
    190,692.04x = 14,431,024,231.26
  5. Step 5: Solve for x
    x = 14,431,024,231.26/190,692.04
  6. Step 6: Final answer
    x = 75,677.12

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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.