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Finding the Fourth Proportional to 116,102.20, 160,219.26 and 65,114.92

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Solution

The fourth proportional to 116,102.20, 160,219.26 and 65,114.92 is: 89,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,102.20 : 160,219.26 = 65,114.92 : x
  2. Step 2: Convert to fraction form
    116,102.20/160,219.26 = 65,114.92/x
  3. Step 3: Cross multiply
    116,102.20x = 160,219.26 × 65,114.92
  4. Step 4: Simplify right side
    116,102.20x = 10,432,664,297.36
  5. Step 5: Solve for x
    x = 10,432,664,297.36/116,102.20
  6. Step 6: Final answer
    x = 89,857.59

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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.