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Finding the Fourth Proportional to 100,201.32, 138,275.46 and 57,757.32

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Solution

The fourth proportional to 100,201.32, 138,275.46 and 57,757.32 is: 79,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201.32 : 138,275.46 = 57,757.32 : x
  2. Step 2: Convert to fraction form
    100,201.32/138,275.46 = 57,757.32/x
  3. Step 3: Cross multiply
    100,201.32x = 138,275.46 × 57,757.32
  4. Step 4: Simplify right side
    100,201.32x = 7,986,419,991.37
  5. Step 5: Solve for x
    x = 7,986,419,991.37/100,201.32
  6. Step 6: Final answer
    x = 79,703.74

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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.