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Finding the Fourth Proportional to 136,119.26, 187,847.84 and 75,692.45

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Solution

The fourth proportional to 136,119.26, 187,847.84 and 75,692.45 is: 104,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,119.26 : 187,847.84 = 75,692.45 : x
  2. Step 2: Convert to fraction form
    136,119.26/187,847.84 = 75,692.45/x
  3. Step 3: Cross multiply
    136,119.26x = 187,847.84 × 75,692.45
  4. Step 4: Simplify right side
    136,119.26x = 14,218,663,236.81
  5. Step 5: Solve for x
    x = 14,218,663,236.81/136,119.26
  6. Step 6: Final answer
    x = 104,457.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.