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Finding the Fourth Proportional to 115,961.87, 160,105.34 and 72,420.75

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Solution

The fourth proportional to 115,961.87, 160,105.34 and 72,420.75 is: 99,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,961.87 : 160,105.34 = 72,420.75 : x
  2. Step 2: Convert to fraction form
    115,961.87/160,105.34 = 72,420.75/x
  3. Step 3: Cross multiply
    115,961.87x = 160,105.34 × 72,420.75
  4. Step 4: Simplify right side
    115,961.87x = 11,594,948,318.12
  5. Step 5: Solve for x
    x = 11,594,948,318.12/115,961.87
  6. Step 6: Final answer
    x = 99,989.32

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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.