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Finding the Fourth Proportional to 259,692.26, 389,588.88 and 99,756.50

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Solution

The fourth proportional to 259,692.26, 389,588.88 and 99,756.50 is: 149,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,692.26 : 389,588.88 = 99,756.50 : x
  2. Step 2: Convert to fraction form
    259,692.26/389,588.88 = 99,756.50/x
  3. Step 3: Cross multiply
    259,692.26x = 389,588.88 × 99,756.50
  4. Step 4: Simplify right side
    259,692.26x = 38,864,023,107.72
  5. Step 5: Solve for x
    x = 38,864,023,107.72/259,692.26
  6. Step 6: Final answer
    x = 149,654.14

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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.