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Finding the Fourth Proportional to 100,662.72, 138,906.24 and 58,224

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Solution

The fourth proportional to 100,662.72, 138,906.24 and 58,224 is: 80,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,662.72 : 138,906.24 = 58,224 : x
  2. Step 2: Convert to fraction form
    100,662.72/138,906.24 = 58,224/x
  3. Step 3: Cross multiply
    100,662.72x = 138,906.24 × 58,224
  4. Step 4: Simplify right side
    100,662.72x = 8,087,676,917.76
  5. Step 5: Solve for x
    x = 8,087,676,917.76/100,662.72
  6. Step 6: Final answer
    x = 80,344.31

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