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Finding the Fourth Proportional to 100,262.26, 138,361.90 and 59,977.72

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Solution

The fourth proportional to 100,262.26, 138,361.90 and 59,977.72 is: 82,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,262.26 : 138,361.90 = 59,977.72 : x
  2. Step 2: Convert to fraction form
    100,262.26/138,361.90 = 59,977.72/x
  3. Step 3: Cross multiply
    100,262.26x = 138,361.90 × 59,977.72
  4. Step 4: Simplify right side
    100,262.26x = 8,298,631,296.87
  5. Step 5: Solve for x
    x = 8,298,631,296.87/100,262.26
  6. Step 6: Final answer
    x = 82,769.24

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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.