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Finding the Fourth Proportional to 100,216.89, 138,310.97 and 57,776.94

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Solution

The fourth proportional to 100,216.89, 138,310.97 and 57,776.94 is: 79,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216.89 : 138,310.97 = 57,776.94 : x
  2. Step 2: Convert to fraction form
    100,216.89/138,310.97 = 57,776.94/x
  3. Step 3: Cross multiply
    100,216.89x = 138,310.97 × 57,776.94
  4. Step 4: Simplify right side
    100,216.89x = 7,991,184,615.03
  5. Step 5: Solve for x
    x = 7,991,184,615.03/100,216.89
  6. Step 6: Final answer
    x = 79,738.90

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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.