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Finding the Fourth Proportional to 100,682.64, 138,942.56 and 55,363.56

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Solution

The fourth proportional to 100,682.64, 138,942.56 and 55,363.56 is: 76,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,682.64 : 138,942.56 = 55,363.56 : x
  2. Step 2: Convert to fraction form
    100,682.64/138,942.56 = 55,363.56/x
  3. Step 3: Cross multiply
    100,682.64x = 138,942.56 × 55,363.56
  4. Step 4: Simplify right side
    100,682.64x = 7,692,354,757.11
  5. Step 5: Solve for x
    x = 7,692,354,757.11/100,682.64
  6. Step 6: Final answer
    x = 76,402.00

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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.