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Finding the Fourth Proportional to 100,494.95, 138,682.44 and 55,173.69

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Solution

The fourth proportional to 100,494.95, 138,682.44 and 55,173.69 is: 76,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494.95 : 138,682.44 = 55,173.69 : x
  2. Step 2: Convert to fraction form
    100,494.95/138,682.44 = 55,173.69/x
  3. Step 3: Cross multiply
    100,494.95x = 138,682.44 × 55,173.69
  4. Step 4: Simplify right side
    100,494.95x = 7,651,621,953.00
  5. Step 5: Solve for x
    x = 7,651,621,953.00/100,494.95
  6. Step 6: Final answer
    x = 76,139.37

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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.