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Finding the Fourth Proportional to 133,781.44, 200,692.93 and 45,028.02

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Solution

The fourth proportional to 133,781.44, 200,692.93 and 45,028.02 is: 67,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,781.44 : 200,692.93 = 45,028.02 : x
  2. Step 2: Convert to fraction form
    133,781.44/200,692.93 = 45,028.02/x
  3. Step 3: Cross multiply
    133,781.44x = 200,692.93 × 45,028.02
  4. Step 4: Simplify right side
    133,781.44x = 9,036,805,265.90
  5. Step 5: Solve for x
    x = 9,036,805,265.90/133,781.44
  6. Step 6: Final answer
    x = 67,549.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.