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Finding the Fourth Proportional to 149,188.50, 223,782.75 and 50,692.50

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Solution

The fourth proportional to 149,188.50, 223,782.75 and 50,692.50 is: 76,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,188.50 : 223,782.75 = 50,692.50 : x
  2. Step 2: Convert to fraction form
    149,188.50/223,782.75 = 50,692.50/x
  3. Step 3: Cross multiply
    149,188.50x = 223,782.75 × 50,692.50
  4. Step 4: Simplify right side
    149,188.50x = 11,344,107,054.38
  5. Step 5: Solve for x
    x = 11,344,107,054.38/149,188.50
  6. Step 6: Final answer
    x = 76,038.75

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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.