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Finding the Fourth Proportional to 100,566.30, 138,782.40 and 55,245.20

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Solution

The fourth proportional to 100,566.30, 138,782.40 and 55,245.20 is: 76,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,566.30 : 138,782.40 = 55,245.20 : x
  2. Step 2: Convert to fraction form
    100,566.30/138,782.40 = 55,245.20/x
  3. Step 3: Cross multiply
    100,566.30x = 138,782.40 × 55,245.20
  4. Step 4: Simplify right side
    100,566.30x = 7,667,061,444.48
  5. Step 5: Solve for x
    x = 7,667,061,444.48/100,566.30
  6. Step 6: Final answer
    x = 76,238.87

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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.