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Finding the Fourth Proportional to 99,728.85, 137,676.61 and 77,016.86

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Solution

The fourth proportional to 99,728.85, 137,676.61 and 77,016.86 is: 106,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,728.85 : 137,676.61 = 77,016.86 : x
  2. Step 2: Convert to fraction form
    99,728.85/137,676.61 = 77,016.86/x
  3. Step 3: Cross multiply
    99,728.85x = 137,676.61 × 77,016.86
  4. Step 4: Simplify right side
    99,728.85x = 10,603,420,121.82
  5. Step 5: Solve for x
    x = 10,603,420,121.82/99,728.85
  6. Step 6: Final answer
    x = 106,322.49

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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.