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Finding the Fourth Proportional to 181,267, 271,958.28 and 76,057.72

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Solution

The fourth proportional to 181,267, 271,958.28 and 76,057.72 is: 114,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,267 : 271,958.28 = 76,057.72 : x
  2. Step 2: Convert to fraction form
    181,267/271,958.28 = 76,057.72/x
  3. Step 3: Cross multiply
    181,267x = 271,958.28 × 76,057.72
  4. Step 4: Simplify right side
    181,267x = 20,684,526,711.92
  5. Step 5: Solve for x
    x = 20,684,526,711.92/181,267
  6. Step 6: Final answer
    x = 114,110.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.