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Finding the Fourth Proportional to 157,847.12, 217,828.20 and 86,226.32

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Solution

The fourth proportional to 157,847.12, 217,828.20 and 86,226.32 is: 118,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,847.12 : 217,828.20 = 86,226.32 : x
  2. Step 2: Convert to fraction form
    157,847.12/217,828.20 = 86,226.32/x
  3. Step 3: Cross multiply
    157,847.12x = 217,828.20 × 86,226.32
  4. Step 4: Simplify right side
    157,847.12x = 18,782,524,078.22
  5. Step 5: Solve for x
    x = 18,782,524,078.22/157,847.12
  6. Step 6: Final answer
    x = 118,991.87

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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.