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Finding the Fourth Proportional to 100,492.70, 138,679.34 and 55,171.44

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Solution

The fourth proportional to 100,492.70, 138,679.34 and 55,171.44 is: 76,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,492.70 : 138,679.34 = 55,171.44 : x
  2. Step 2: Convert to fraction form
    100,492.70/138,679.34 = 55,171.44/x
  3. Step 3: Cross multiply
    100,492.70x = 138,679.34 × 55,171.44
  4. Step 4: Simplify right side
    100,492.70x = 7,651,138,610.19
  5. Step 5: Solve for x
    x = 7,651,138,610.19/100,492.70
  6. Step 6: Final answer
    x = 76,136.27

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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.