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Finding the Fourth Proportional to 100,201.46, 138,302.97 and 57,785.54

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Solution

The fourth proportional to 100,201.46, 138,302.97 and 57,785.54 is: 79,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201.46 : 138,302.97 = 57,785.54 : x
  2. Step 2: Convert to fraction form
    100,201.46/138,302.97 = 57,785.54/x
  3. Step 3: Cross multiply
    100,201.46x = 138,302.97 × 57,785.54
  4. Step 4: Simplify right side
    100,201.46x = 7,991,911,805.05
  5. Step 5: Solve for x
    x = 7,991,911,805.05/100,201.46
  6. Step 6: Final answer
    x = 79,758.44

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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.