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Finding the Fourth Proportional to 100,494.64, 138,682.85 and 55,175.55

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Solution

The fourth proportional to 100,494.64, 138,682.85 and 55,175.55 is: 76,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494.64 : 138,682.85 = 55,175.55 : x
  2. Step 2: Convert to fraction form
    100,494.64/138,682.85 = 55,175.55/x
  3. Step 3: Cross multiply
    100,494.64x = 138,682.85 × 55,175.55
  4. Step 4: Simplify right side
    100,494.64x = 7,651,901,935.29
  5. Step 5: Solve for x
    x = 7,651,901,935.29/100,494.64
  6. Step 6: Final answer
    x = 76,142.39

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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.