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Finding the Fourth Proportional to 80,816, 111,636.16 and 76,878.72

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Solution

The fourth proportional to 80,816, 111,636.16 and 76,878.72 is: 106,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,816 : 111,636.16 = 76,878.72 : x
  2. Step 2: Convert to fraction form
    80,816/111,636.16 = 76,878.72/x
  3. Step 3: Cross multiply
    80,816x = 111,636.16 × 76,878.72
  4. Step 4: Simplify right side
    80,816x = 8,582,445,086.52
  5. Step 5: Solve for x
    x = 8,582,445,086.52/80,816
  6. Step 6: Final answer
    x = 106,197.35

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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.