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Finding the Fourth Proportional to 138,649.96, 207,992.22 and 54,412.84

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Solution

The fourth proportional to 138,649.96, 207,992.22 and 54,412.84 is: 81,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.96 : 207,992.22 = 54,412.84 : x
  2. Step 2: Convert to fraction form
    138,649.96/207,992.22 = 54,412.84/x
  3. Step 3: Cross multiply
    138,649.96x = 207,992.22 × 54,412.84
  4. Step 4: Simplify right side
    138,649.96x = 11,317,447,388.10
  5. Step 5: Solve for x
    x = 11,317,447,388.10/138,649.96
  6. Step 6: Final answer
    x = 81,626.04

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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.