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Finding the Fourth Proportional to 116,099.57, 160,069.09 and 75,191.42

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Solution

The fourth proportional to 116,099.57, 160,069.09 and 75,191.42 is: 103,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,099.57 : 160,069.09 = 75,191.42 : x
  2. Step 2: Convert to fraction form
    116,099.57/160,069.09 = 75,191.42/x
  3. Step 3: Cross multiply
    116,099.57x = 160,069.09 × 75,191.42
  4. Step 4: Simplify right side
    116,099.57x = 12,035,821,987.23
  5. Step 5: Solve for x
    x = 12,035,821,987.23/116,099.57
  6. Step 6: Final answer
    x = 103,668.10

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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.