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Finding the Fourth Proportional to 116,189.26, 160,334.66 and 65,197.24

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Solution

The fourth proportional to 116,189.26, 160,334.66 and 65,197.24 is: 89,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,189.26 : 160,334.66 = 65,197.24 : x
  2. Step 2: Convert to fraction form
    116,189.26/160,334.66 = 65,197.24/x
  3. Step 3: Cross multiply
    116,189.26x = 160,334.66 × 65,197.24
  4. Step 4: Simplify right side
    116,189.26x = 10,453,377,070.49
  5. Step 5: Solve for x
    x = 10,453,377,070.49/116,189.26
  6. Step 6: Final answer
    x = 89,968.53

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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.