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Finding the Fourth Proportional to 100,620.32, 138,849.28 and 55,297.32

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Solution

The fourth proportional to 100,620.32, 138,849.28 and 55,297.32 is: 76,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,620.32 : 138,849.28 = 55,297.32 : x
  2. Step 2: Convert to fraction form
    100,620.32/138,849.28 = 55,297.32/x
  3. Step 3: Cross multiply
    100,620.32x = 138,849.28 × 55,297.32
  4. Step 4: Simplify right side
    100,620.32x = 7,677,993,067.93
  5. Step 5: Solve for x
    x = 7,677,993,067.93/100,620.32
  6. Step 6: Final answer
    x = 76,306.59

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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.