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Finding the Fourth Proportional to 105,466.26, 145,544.28 and 65,170.80

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Solution

The fourth proportional to 105,466.26, 145,544.28 and 65,170.80 is: 89,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,466.26 : 145,544.28 = 65,170.80 : x
  2. Step 2: Convert to fraction form
    105,466.26/145,544.28 = 65,170.80/x
  3. Step 3: Cross multiply
    105,466.26x = 145,544.28 × 65,170.80
  4. Step 4: Simplify right side
    105,466.26x = 9,485,237,163.02
  5. Step 5: Solve for x
    x = 9,485,237,163.02/105,466.26
  6. Step 6: Final answer
    x = 89,936.22

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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.