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Finding the Fourth Proportional to 133,692.30, 200,538.45 and 86,453.10

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Solution

The fourth proportional to 133,692.30, 200,538.45 and 86,453.10 is: 129,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.30 : 200,538.45 = 86,453.10 : x
  2. Step 2: Convert to fraction form
    133,692.30/200,538.45 = 86,453.10/x
  3. Step 3: Cross multiply
    133,692.30x = 200,538.45 × 86,453.10
  4. Step 4: Simplify right side
    133,692.30x = 17,337,170,671.70
  5. Step 5: Solve for x
    x = 17,337,170,671.70/133,692.30
  6. Step 6: Final answer
    x = 129,679.65

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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.