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Finding the Fourth Proportional to 133,987.82, 200,673.66 and 74,692.18

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Solution

The fourth proportional to 133,987.82, 200,673.66 and 74,692.18 is: 111,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,987.82 : 200,673.66 = 74,692.18 : x
  2. Step 2: Convert to fraction form
    133,987.82/200,673.66 = 74,692.18/x
  3. Step 3: Cross multiply
    133,987.82x = 200,673.66 × 74,692.18
  4. Step 4: Simplify right side
    133,987.82x = 14,988,753,133.98
  5. Step 5: Solve for x
    x = 14,988,753,133.98/133,987.82
  6. Step 6: Final answer
    x = 111,866.53

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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.